MCQ: Volume, Surface Area & Solid Figures - 3 - SSC CGL MCQ

# MCQ: Volume, Surface Area & Solid Figures - 3 - SSC CGL MCQ

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## 15 Questions MCQ Test Quantitative Aptitude for SSC CGL - MCQ: Volume, Surface Area & Solid Figures - 3

MCQ: Volume, Surface Area & Solid Figures - 3 for SSC CGL 2024 is part of Quantitative Aptitude for SSC CGL preparation. The MCQ: Volume, Surface Area & Solid Figures - 3 questions and answers have been prepared according to the SSC CGL exam syllabus.The MCQ: Volume, Surface Area & Solid Figures - 3 MCQs are made for SSC CGL 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MCQ: Volume, Surface Area & Solid Figures - 3 below.
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MCQ: Volume, Surface Area & Solid Figures - 3 - Question 1

### What is the diagonal of a rectangle whose length is 8 cm and breadth is 6 cm?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 3 - Question 1

Diagonal of the rectangle = √(82 + 62) = √(64 + 36) = √100 = 10 cm
Hence, Option C is correct.

MCQ: Volume, Surface Area & Solid Figures - 3 - Question 2

### What is the total surface area of a cuboid whose length, breadth and height are 10 cm, 8 cm and 5 cm respectively?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 3 - Question 2

Surface area of a cuboid = 2 × (lb + bh + hl)
So the answer = 2 × (10 × 8 + 8 × 5 + 5 × 10) = 340 cm2
Hence, Option A is correct.

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MCQ: Volume, Surface Area & Solid Figures - 3 - Question 3

### What is the diameter of the sphere with a volume of 38,808 cm3?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 3 - Question 3

r3 = 9261
r = 21
Diameter = 21 × 2 = 42 cm
Hence, Option A is correct.

MCQ: Volume, Surface Area & Solid Figures - 3 - Question 4

The radius of a cylinder is 4 cm less than its height. If the diameter of the cylinder is 14 cm, what is the volume of the cylinder?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 3 - Question 4

Height of the cylinder = 7 + 4 = 11 cm
Volume of the cylinder = πr2h

Hence, Option C is correct.

MCQ: Volume, Surface Area & Solid Figures - 3 - Question 5

The volume of a cube is 729 m3. What is the diagonal of the cube?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 3 - Question 5

Side of the cube = ∛729 = 9 meters
So the answer = Side √3 = 9√3 meters
Hence, Option C is correct.

MCQ: Volume, Surface Area & Solid Figures - 3 - Question 6

What is the curved surface area of a cylinder with 7 cm height and 2 cm radius?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 3 - Question 6

Curved surface area of a cylinder = 2πrh

Hence, Option B is correct.

MCQ: Volume, Surface Area & Solid Figures - 3 - Question 7

The ratio of the length to the breadth of a rectangle is 5 : 3 and its perimeter is 64 cm. What is the area of the rectangle?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 3 - Question 7

2 × (5x + 3x) = 64
8x = 32
x = 4
So the answer = 5x × 3x = 5 × 4 × 3 × 4 = 240 cm2
Hence, Option A is correct.

MCQ: Volume, Surface Area & Solid Figures - 3 - Question 8

The diagonal of a rectangle is 25 cm and its breadth is 15 cm, what is the length of the rectangle?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 3 - Question 8

25 = √(152 + L2)
625 = 225 + L2
400 = L2
20 = L
So the answer = 20 cm
Hence, Option D is correct.

MCQ: Volume, Surface Area & Solid Figures - 3 - Question 9

The base and one of the two equal sides of an isosceles triangle are 12 cm and 10 cm, respectively. What is the area of the triangle?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 3 - Question 9

Half the base of the triangle = 12/2 = 6 cm
Height of the triangle = √(102– 62) = 8 cm

= 1/2 × 12 × 8 = 48 cm2
Hence, Option D is correct.

MCQ: Volume, Surface Area & Solid Figures - 3 - Question 10

If the area of rectangles A and B is 45 cm2 and 60 cm2, respectively, and the length of rectangles A and B is 9 cm and 10 cm, respectively, what is the ratio of the width of rectangle A to that of rectangle B?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 3 - Question 10

Let the width of A = A
Width of B = B

A : B = 5 : 6
Hence, Option B is correct.

MCQ: Volume, Surface Area & Solid Figures - 3 - Question 11

What is the volume of a cylinder with 14 cm height and 4 cm radius?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 3 - Question 11

Volume of a cylinder = πr2h

Hence, Option D is correct.

MCQ: Volume, Surface Area & Solid Figures - 3 - Question 12

The surface area of a cube is 3750 cm2, what is the volume of the cube?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 3 - Question 12

6 × side2 = 3750
Side2 = 625
Sice = 25 cm
So the answer = 25 × 25 × 25 = 15,625 cm3
Hence, Option D is correct.

MCQ: Volume, Surface Area & Solid Figures - 3 - Question 13

What is the area of an equilateral triangle with 4 cm side?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 3 - Question 13

Area of an equilateral triangle

Hence, Option A is correct.

MCQ: Volume, Surface Area & Solid Figures - 3 - Question 14

The perimeter of a square is twice the perimeter of a rectangle. If the perimeter of the square is 72 cm and the length of the rectangle is 2 cm more than its width, what is the width of the rectangle?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 3 - Question 14

Perimeter of the rectangle
= 72/2 = 36 cm
Let the width of the rectangle = x
Length = x + 2
2 × (x + x + 2) = 36
2x + 2 = 18
x = 8 cm
Hence, Option A is correct.

MCQ: Volume, Surface Area & Solid Figures - 3 - Question 15

What is the surface area of a cube with an edge of 12 meter?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 3 - Question 15

6 × side2 = 6 × 12 × 12 = 864 m2
Hence, Option B is correct.

## Quantitative Aptitude for SSC CGL

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## Quantitative Aptitude for SSC CGL

314 videos|170 docs|185 tests