Class 8 Exam > Class 8 Questions > The edge of a cube whose volume is equal to t...
Start Learning for Free
The edge of a cube whose volume is equal to the volume of a cuboid of dimensions is 80cm×75cm×36cm?
Verified Answer
The edge of a cube whose volume is equal to the volume of a cuboid of ...
Volume of cube=volume of cuboid
This question is part of UPSC exam. View all Class 8 courses
Most Upvoted Answer
The edge of a cube whose volume is equal to the volume of a cuboid of ...
Introduction:
To find the edge length of a cube, we need to determine the volume of a given cuboid and then calculate the edge length using the formula for the volume of a cube.
Given:
Dimensions of the cuboid: 80cm × 75cm × 36cm
Step 1: Calculate the volume of the cuboid:
The volume of a cuboid is given by the formula V = length × width × height. So, in this case, the volume of the cuboid can be calculated as:
V = 80cm × 75cm × 36cm
V = 216,000 cm³
Step 2: Calculate the edge length of the cube:
In a cube, all edges have the same length. Therefore, to find the edge length, we need to calculate the cube root of the volume.
Let's assume the edge length of the cube is "a".
a³ = 216,000 cm³
Taking the cube root on both sides, we get:
a = ∛216,000 cm³
a ≈ 59.14 cm (approximated to two decimal places)
Conclusion:
The edge length of the cube is approximately 59.14 cm.
To find the edge length of a cube, we need to determine the volume of a given cuboid and then calculate the edge length using the formula for the volume of a cube.
Given:
Dimensions of the cuboid: 80cm × 75cm × 36cm
Step 1: Calculate the volume of the cuboid:
The volume of a cuboid is given by the formula V = length × width × height. So, in this case, the volume of the cuboid can be calculated as:
V = 80cm × 75cm × 36cm
V = 216,000 cm³
Step 2: Calculate the edge length of the cube:
In a cube, all edges have the same length. Therefore, to find the edge length, we need to calculate the cube root of the volume.
Let's assume the edge length of the cube is "a".
a³ = 216,000 cm³
Taking the cube root on both sides, we get:
a = ∛216,000 cm³
a ≈ 59.14 cm (approximated to two decimal places)
Conclusion:
The edge length of the cube is approximately 59.14 cm.
Attention Class 8 Students!
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.
|
|
Explore Courses for Class 8 exam
|
|
Similar Class 8 Doubts
Top Courses for Class 8View all
The edge of a cube whose volume is equal to the volume of a cuboid of dimensions is 80cm×75cm×36cm?
Question Description
The edge of a cube whose volume is equal to the volume of a cuboid of dimensions is 80cm×75cm×36cm? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The edge of a cube whose volume is equal to the volume of a cuboid of dimensions is 80cm×75cm×36cm? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The edge of a cube whose volume is equal to the volume of a cuboid of dimensions is 80cm×75cm×36cm?.
The edge of a cube whose volume is equal to the volume of a cuboid of dimensions is 80cm×75cm×36cm? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The edge of a cube whose volume is equal to the volume of a cuboid of dimensions is 80cm×75cm×36cm? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The edge of a cube whose volume is equal to the volume of a cuboid of dimensions is 80cm×75cm×36cm?.
Solutions for The edge of a cube whose volume is equal to the volume of a cuboid of dimensions is 80cm×75cm×36cm? in English & in Hindi are available as part of our courses for Class 8.
Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of The edge of a cube whose volume is equal to the volume of a cuboid of dimensions is 80cm×75cm×36cm? defined & explained in the simplest way possible. Besides giving the explanation of
The edge of a cube whose volume is equal to the volume of a cuboid of dimensions is 80cm×75cm×36cm?, a detailed solution for The edge of a cube whose volume is equal to the volume of a cuboid of dimensions is 80cm×75cm×36cm? has been provided alongside types of The edge of a cube whose volume is equal to the volume of a cuboid of dimensions is 80cm×75cm×36cm? theory, EduRev gives you an
ample number of questions to practice The edge of a cube whose volume is equal to the volume of a cuboid of dimensions is 80cm×75cm×36cm? tests, examples and also practice Class 8 tests.
|
|
Explore Courses for Class 8 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© 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