Class 9 Exam > Class 9 Notes > Mathematics (Maths) Class 9 > RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube
Class 9 Maths Question Answers - Surface Area and Volume of a Cuboid and Cube
| Download, print and study this document offline |
Please wait while the PDF view is loading
Page 1
Q u e s t i o n : 4 8
If two cubes each of side 6 cm are joined face to face, then find the volume of the resulting cuboid.
S o l u t i o n :
We have,
Side of each cube (a) = 6 cm
We need to find the volume of resulting cuboid
Hence, dimensions of the resulting cuboid are,
Length (l) = 2a
Page 2
Q u e s t i o n : 4 8
If two cubes each of side 6 cm are joined face to face, then find the volume of the resulting cuboid.
S o l u t i o n :
We have,
Side of each cube (a) = 6 cm
We need to find the volume of resulting cuboid
Hence, dimensions of the resulting cuboid are,
Length (l) = 2a
Breadth (b) = a
= 6 cm
Height (h) = a
= 6 cm
Hence, volume of the resulting cuboid,
Hence, volume of the resulting cuboid is .
Q u e s t i o n : 4 9
Three cubes of metal whose edges are in the ratio 3 : 4 : 5 are melted down in to a single cube whose diagonal is
12
v
3
cm. Find the edges of three cubes.
S o l u t i o n :
The edges of the three cubes are in the ratio 3 : 4 : 5.
So, let the edges be 3x cm, 4x cm, 5x cm.
The diagonal of new cube is
We need to find the edges of three cubes
Here, volume of the resulting cube,
Let,
Edge of the resulting cube
So, diagonal of the cube , so
Hence,
Now;
The edges of the three cubes are,
Page 3
Q u e s t i o n : 4 8
If two cubes each of side 6 cm are joined face to face, then find the volume of the resulting cuboid.
S o l u t i o n :
We have,
Side of each cube (a) = 6 cm
We need to find the volume of resulting cuboid
Hence, dimensions of the resulting cuboid are,
Length (l) = 2a
Breadth (b) = a
= 6 cm
Height (h) = a
= 6 cm
Hence, volume of the resulting cuboid,
Hence, volume of the resulting cuboid is .
Q u e s t i o n : 4 9
Three cubes of metal whose edges are in the ratio 3 : 4 : 5 are melted down in to a single cube whose diagonal is
12
v
3
cm. Find the edges of three cubes.
S o l u t i o n :
The edges of the three cubes are in the ratio 3 : 4 : 5.
So, let the edges be 3x cm, 4x cm, 5x cm.
The diagonal of new cube is
We need to find the edges of three cubes
Here, volume of the resulting cube,
Let,
Edge of the resulting cube
So, diagonal of the cube , so
Hence,
Now;
The edges of the three cubes are,
The edges of the three cubes are .
Q u e s t i o n : 5 0
If the perimeter of each face of a cube is 32 cm, find its lateral surface area. Note that four faces which meet the
base of a cube are called its lateral faces.
S o l u t i o n :
Let,
Side of the cube
Perimeter of each face is 32 cm.
Lateral surface area,
So the lateral surface area of the cube is .
Q u e s t i o n : 5 1
Find the edge of a cube whose surface area is 432 m
2
.
S o l u t i o n :
Let,
Edge of the cube
Surface area of the cube = 6a
2
So,
Side of the cube is .
Q u e s t i o n : 5 2
A cuboid has total surface area of 372 cm
2
and its lateral surface area is 180 cm
2
, find the area of its base.
S o l u t i o n :
We have,
Total surface area of the cuboid
Page 4
Q u e s t i o n : 4 8
If two cubes each of side 6 cm are joined face to face, then find the volume of the resulting cuboid.
S o l u t i o n :
We have,
Side of each cube (a) = 6 cm
We need to find the volume of resulting cuboid
Hence, dimensions of the resulting cuboid are,
Length (l) = 2a
Breadth (b) = a
= 6 cm
Height (h) = a
= 6 cm
Hence, volume of the resulting cuboid,
Hence, volume of the resulting cuboid is .
Q u e s t i o n : 4 9
Three cubes of metal whose edges are in the ratio 3 : 4 : 5 are melted down in to a single cube whose diagonal is
12
v
3
cm. Find the edges of three cubes.
S o l u t i o n :
The edges of the three cubes are in the ratio 3 : 4 : 5.
So, let the edges be 3x cm, 4x cm, 5x cm.
The diagonal of new cube is
We need to find the edges of three cubes
Here, volume of the resulting cube,
Let,
Edge of the resulting cube
So, diagonal of the cube , so
Hence,
Now;
The edges of the three cubes are,
The edges of the three cubes are .
Q u e s t i o n : 5 0
If the perimeter of each face of a cube is 32 cm, find its lateral surface area. Note that four faces which meet the
base of a cube are called its lateral faces.
S o l u t i o n :
Let,
Side of the cube
Perimeter of each face is 32 cm.
Lateral surface area,
So the lateral surface area of the cube is .
Q u e s t i o n : 5 1
Find the edge of a cube whose surface area is 432 m
2
.
S o l u t i o n :
Let,
Edge of the cube
Surface area of the cube = 6a
2
So,
Side of the cube is .
Q u e s t i o n : 5 2
A cuboid has total surface area of 372 cm
2
and its lateral surface area is 180 cm
2
, find the area of its base.
S o l u t i o n :
We have,
Total surface area of the cuboid
Lateral surface area of the cuboid
Let,
Area of the base
We know that,
Area of the base is .
Q u e s t i o n : 5 3
Three cubes of each side 4 cm are joined end to end. Find the surface area of the resulting cuboid.
S o l u t i o n :
Side of each cube (a) = 4 cm
We need to find the surface area of the resulting cuboid
Dimensions of the resulting cuboid,
Length (l) = 3a
Breadth (b) = a
Height (h) = a
Surface area of the cuboid,
Surface area of the cuboid is .
Q u e s t i o n : 5 4
The surface area of a cuboid is 1300 cm
2
. If its breadth is 10 cm and height is 20 cm
2
, find its length.
S o l u t i o n :
Let, l ? Length of the cuboid
Breadth of the cuboid (b) = 10 cm
Height of the cuboid (h) = 20 cm
Surface area of the cuboid (A) = 1300 cm
2
Page 5
Q u e s t i o n : 4 8
If two cubes each of side 6 cm are joined face to face, then find the volume of the resulting cuboid.
S o l u t i o n :
We have,
Side of each cube (a) = 6 cm
We need to find the volume of resulting cuboid
Hence, dimensions of the resulting cuboid are,
Length (l) = 2a
Breadth (b) = a
= 6 cm
Height (h) = a
= 6 cm
Hence, volume of the resulting cuboid,
Hence, volume of the resulting cuboid is .
Q u e s t i o n : 4 9
Three cubes of metal whose edges are in the ratio 3 : 4 : 5 are melted down in to a single cube whose diagonal is
12
v
3
cm. Find the edges of three cubes.
S o l u t i o n :
The edges of the three cubes are in the ratio 3 : 4 : 5.
So, let the edges be 3x cm, 4x cm, 5x cm.
The diagonal of new cube is
We need to find the edges of three cubes
Here, volume of the resulting cube,
Let,
Edge of the resulting cube
So, diagonal of the cube , so
Hence,
Now;
The edges of the three cubes are,
The edges of the three cubes are .
Q u e s t i o n : 5 0
If the perimeter of each face of a cube is 32 cm, find its lateral surface area. Note that four faces which meet the
base of a cube are called its lateral faces.
S o l u t i o n :
Let,
Side of the cube
Perimeter of each face is 32 cm.
Lateral surface area,
So the lateral surface area of the cube is .
Q u e s t i o n : 5 1
Find the edge of a cube whose surface area is 432 m
2
.
S o l u t i o n :
Let,
Edge of the cube
Surface area of the cube = 6a
2
So,
Side of the cube is .
Q u e s t i o n : 5 2
A cuboid has total surface area of 372 cm
2
and its lateral surface area is 180 cm
2
, find the area of its base.
S o l u t i o n :
We have,
Total surface area of the cuboid
Lateral surface area of the cuboid
Let,
Area of the base
We know that,
Area of the base is .
Q u e s t i o n : 5 3
Three cubes of each side 4 cm are joined end to end. Find the surface area of the resulting cuboid.
S o l u t i o n :
Side of each cube (a) = 4 cm
We need to find the surface area of the resulting cuboid
Dimensions of the resulting cuboid,
Length (l) = 3a
Breadth (b) = a
Height (h) = a
Surface area of the cuboid,
Surface area of the cuboid is .
Q u e s t i o n : 5 4
The surface area of a cuboid is 1300 cm
2
. If its breadth is 10 cm and height is 20 cm
2
, find its length.
S o l u t i o n :
Let, l ? Length of the cuboid
Breadth of the cuboid (b) = 10 cm
Height of the cuboid (h) = 20 cm
Surface area of the cuboid (A) = 1300 cm
2
We have to find the length of the cuboid
We know that,
Length of the cuboid is .
Read More
|
44 videos|412 docs|54 tests
|
FAQs on Class 9 Maths Question Answers - Surface Area and Volume of a Cuboid and Cube
| 1. What is the formula to calculate the surface area of a cuboid? |  |
Ans. The formula to calculate the surface area of a cuboid is 2(lw + lh + wh), where l, w, and h are the length, width, and height of the cuboid, respectively.
| 2. How do you find the volume of a cube? | |
Ans. The volume of a cube can be found by raising the length of one side to the power of 3. So, the formula for the volume of a cube is V = s^3, where s represents the length of a side.
| 3. Can the surface area of a cuboid be greater than its volume? | |
Ans. No, it is not possible for the surface area of a cuboid to be greater than its volume. The surface area represents the total area of the six faces of the cuboid, whereas the volume represents the space enclosed by the cuboid. Since surface area is measured in square units and volume is measured in cubic units, the volume will always be greater than or equal to the surface area.
| 4. How can we calculate the length of a side of a cube if we know its volume? | |
Ans. To calculate the length of a side of a cube if we know its volume, we can take the cube root of the volume. So, if V is the volume of the cube, then the length of a side can be found using the formula s = ∛V.
| 5. Can a cuboid and a cube have the same volume but different surface areas? | |
Ans. Yes, it is possible for a cuboid and a cube to have the same volume but different surface areas. Since the volume only depends on the length of the sides, different combinations of length, width, and height can result in the same volume. However, the surface area also takes into account the shape and arrangement of the sides, so different dimensions can lead to different surface areas.
Related Exams
About this Document
|
4.73/5 Rating |
|
Dec 18, 2024 Last updated |
Document Description: RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube for Class 9 2024 is part of Mathematics (Maths) Class 9 preparation.
The notes and questions for RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube have been prepared according to the Class 9 exam syllabus. Information about RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube covers topics
like and RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube Example, for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube.
Introduction of RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube in English is available as part of our Mathematics (Maths) Class 9
for Class 9 & RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube in Hindi for Mathematics (Maths) Class 9 course.
Download more important topics related with notes, lectures and mock test series for Class 9
Exam by signing up for free. Class 9: Class 9 Maths Question Answers - Surface Area and Volume of a Cuboid and Cube
Description
Full syllabus notes, lecture & questions for Class 9 Maths Question Answers - Surface Area and Volume of a Cuboid and Cube - Class 9 | Plus excerises question with solution to help you revise complete syllabus for Mathematics (Maths) Class 9 | Best notes, free PDF download
Information about RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube
In this doc you can find the meaning of RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube defined & explained in the simplest way possible. Besides explaining types of
RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube theory, EduRev gives you an ample number of questions to practice RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube tests, examples and also practice Class 9
tests
|
Explore Courses for Class 9 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Free
,practice quizzes
,Summary
,Class 9 Maths Question Answers - Surface Area and Volume of a Cuboid and Cube
,Class 9 Maths Question Answers - Surface Area and Volume of a Cuboid and Cube
,Semester Notes
,Exam
,Viva Questions
,Sample Paper
,video lectures
,Important questions
,Class 9 Maths Question Answers - Surface Area and Volume of a Cuboid and Cube
,Objective type Questions
,Extra Questions
,study material
,ppt
,Previous Year Questions with Solutions
,MCQs
,shortcuts and tricks
,mock tests for examination
,past year papers
;
Additional Information about RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube for Class 9 Preparation
RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube Free PDF Download
The RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube is an invaluable resource that delves deep into the core of the Class 9 exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube now and kickstart your journey towards success in the Class 9 exam.
Importance of RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube
The importance of RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube cannot be overstated, especially for Class 9 aspirants.
This document holds the key to success in the Class 9 exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube Notes
RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube Notes on EduRev are your ultimate resource for success.
RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube Class 9
The "RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube Class 9 Questions" guide is a valuable resource for all aspiring students preparing for the
Class 9 exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube on the App
Students of Class 9 can study RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of RD Sharma (Very Short Answer Questions): Surface Area and Volume of a Cuboid and Cube is prepared as per the latest Class 9 syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup