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Volume and Surface Area

Description: Volume and Surface Area Quiz
Number of Questions: 15
Created by:
Tags: geometry volume surface area
Attempted 0/15 Correct 0 Score 0

Find the volume of a cube with side length 5 cm.

  1. 125 cm³

  2. 25 cm³

  3. 15 cm³

  4. 5 cm³


Correct Option: A
Explanation:

The volume of a cube is given by V = a³, where a is the length of one side. In this case, a = 5 cm, so V = 5³ = 125 cm³.

Find the surface area of a cube with side length 4 cm.

  1. 96 cm²

  2. 48 cm²

  3. 32 cm²

  4. 16 cm²


Correct Option: A
Explanation:

The surface area of a cube is given by SA = 6a², where a is the length of one side. In this case, a = 4 cm, so SA = 6(4²) = 96 cm².

Find the volume of a rectangular prism with length 6 cm, width 4 cm, and height 3 cm.

  1. 72 cm³

  2. 24 cm³

  3. 18 cm³

  4. 12 cm³


Correct Option: A
Explanation:

The volume of a rectangular prism is given by V = lwh, where l is the length, w is the width, and h is the height. In this case, l = 6 cm, w = 4 cm, and h = 3 cm, so V = 6 * 4 * 3 = 72 cm³.

Find the surface area of a rectangular prism with length 5 cm, width 3 cm, and height 2 cm.

  1. 52 cm²

  2. 30 cm²

  3. 20 cm²

  4. 10 cm²


Correct Option: A
Explanation:

The surface area of a rectangular prism is given by SA = 2(lw + wh + lh), where l is the length, w is the width, and h is the height. In this case, l = 5 cm, w = 3 cm, and h = 2 cm, so SA = 2((5 * 3) + (3 * 2) + (5 * 2)) = 52 cm².

Find the volume of a cylinder with radius 4 cm and height 8 cm.

  1. 100π cm³

  2. 200π cm³

  3. 300π cm³

  4. 400π cm³


Correct Option: C
Explanation:

The volume of a cylinder is given by V = πr²h, where r is the radius and h is the height. In this case, r = 4 cm and h = 8 cm, so V = π(4²)(8) = 300π cm³.

Find the surface area of a cylinder with radius 5 cm and height 10 cm.

  1. 314 cm²

  2. 157 cm²

  3. 78.5 cm²

  4. 39.25 cm²


Correct Option: A
Explanation:

The surface area of a cylinder is given by SA = 2πr(r + h), where r is the radius and h is the height. In this case, r = 5 cm and h = 10 cm, so SA = 2π(5)(5 + 10) = 314 cm².

Find the volume of a cone with radius 3 cm and height 4 cm.

  1. 12π cm³

  2. 24π cm³

  3. 36π cm³

  4. 48π cm³


Correct Option: A
Explanation:

The volume of a cone is given by V = ½πr²h, where r is the radius and h is the height. In this case, r = 3 cm and h = 4 cm, so V = ½π(3²)(4) = 12π cm³.

Find the surface area of a cone with radius 6 cm and height 8 cm.

  1. 150.79 cm²

  2. 75.39 cm²

  3. 37.69 cm²

  4. 18.84 cm²


Correct Option: A
Explanation:

The surface area of a cone is given by SA = πr(r + l), where r is the radius, l is the slant height, and h is the height. In this case, r = 6 cm and h = 8 cm. To find l, we use the Pythagorean theorem: l² = r² + h². Substituting the values, we get l² = 6² + 8² = 100. Therefore, l = 10 cm. Now we can calculate the surface area: SA = π(6)(6 + 10) = 150.79 cm².

Find the volume of a sphere with radius 5 cm.

  1. 523.6 cm³

  2. 261.8 cm³

  3. 130.9 cm³

  4. 65.45 cm³


Correct Option: A
Explanation:

The volume of a sphere is given by V = ½πr³, where r is the radius. In this case, r = 5 cm, so V = ½π(5³) = 523.6 cm³.

Find the surface area of a sphere with radius 4 cm.

  1. 251.2 cm²

  2. 125.6 cm²

  3. 62.8 cm²

  4. 31.4 cm²


Correct Option: A
Explanation:

The surface area of a sphere is given by SA = 4πr², where r is the radius. In this case, r = 4 cm, so SA = 4π(4²) = 251.2 cm².

A rectangular prism has a length of 10 cm, a width of 5 cm, and a height of 3 cm. What is the volume of the prism?

  1. 150 cm³

  2. 75 cm³

  3. 37.5 cm³

  4. 18.75 cm³


Correct Option: A
Explanation:

The volume of a rectangular prism is given by V = lwh, where l is the length, w is the width, and h is the height. In this case, l = 10 cm, w = 5 cm, and h = 3 cm, so V = 10 * 5 * 3 = 150 cm³.

A cylinder has a radius of 6 cm and a height of 8 cm. What is the volume of the cylinder?

  1. 288π cm³

  2. 144π cm³

  3. 72π cm³

  4. 36π cm³


Correct Option: A
Explanation:

The volume of a cylinder is given by V = πr²h, where r is the radius and h is the height. In this case, r = 6 cm and h = 8 cm, so V = π(6²)(8) = 288π cm³.

A cone has a radius of 5 cm and a height of 12 cm. What is the volume of the cone?

  1. 314 cm³

  2. 157 cm³

  3. 78.5 cm³

  4. 39.25 cm³


Correct Option: A
Explanation:

The volume of a cone is given by V = ½πr²h, where r is the radius and h is the height. In this case, r = 5 cm and h = 12 cm, so V = ½π(5²)(12) = 314 cm³.

A sphere has a radius of 4 cm. What is the volume of the sphere?

  1. 268.08 cm³

  2. 134.04 cm³

  3. 67.02 cm³

  4. 33.51 cm³


Correct Option: A
Explanation:

The volume of a sphere is given by V = ½πr³, where r is the radius. In this case, r = 4 cm, so V = ½π(4³) = 268.08 cm³.

A cube has a side length of 7 cm. What is the surface area of the cube?

  1. 343 cm²

  2. 171.5 cm²

  3. 85.75 cm²

  4. 42.875 cm²


Correct Option: A
Explanation:

The surface area of a cube is given by SA = 6a², where a is the length of one side. In this case, a = 7 cm, so SA = 6(7²) = 343 cm².

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