Solids

Description: Test your understanding of solids in geometry.
Number of Questions: 15
Created by:
Tags: geometry solids 3d shapes
Attempted 0/15 Correct 0 Score 0

What is the formula for the volume of a cube with side length (s)?

  1. (s^3)

  2. (s^2)

  3. (2s^3)

  4. (4s^3)


Correct Option: A
Explanation:

The volume of a cube is given by the formula (s^3), where (s) is the length of one side of the cube.

What is the formula for the surface area of a cube with side length (s)?

  1. (6s^2)

  2. (4s^2)

  3. (2s^2)

  4. (s^2)


Correct Option: A
Explanation:

The surface area of a cube is given by the formula (6s^2), where (s) is the length of one side of the cube.

What is the formula for the volume of a rectangular prism with length (l), width (w), and height (h)?

  1. (lwh)

  2. (2lwh)

  3. (lw)

  4. (l^2w^2h^2)


Correct Option: A
Explanation:

The volume of a rectangular prism is given by the formula (lwh), where (l) is the length, (w) is the width, and (h) is the height of the prism.

What is the formula for the surface area of a rectangular prism with length (l), width (w), and height (h)?

  1. (2(lw + wh + lh))

  2. (lw + wh + lh)

  3. (2(l^2 + w^2 + h^2))

  4. (l^2 + w^2 + h^2)


Correct Option: A
Explanation:

The surface area of a rectangular prism is given by the formula (2(lw + wh + lh)), where (l) is the length, (w) is the width, and (h) is the height of the prism.

What is the formula for the volume of a cylinder with radius (r) and height (h)?

  1. (\pi r^2h)

  2. (2\pi r^2h)

  3. (\pi r^3)

  4. (2\pi r^3)


Correct Option: A
Explanation:

The volume of a cylinder is given by the formula (\pi r^2h), where (r) is the radius and (h) is the height of the cylinder.

What is the formula for the surface area of a cylinder with radius (r) and height (h)?

  1. (2\pi r^2 + 2\pi rh)

  2. (\pi r^2 + 2\pi rh)

  3. (2\pi r^2)

  4. (\pi r^2)


Correct Option: A
Explanation:

The surface area of a cylinder is given by the formula (2\pi r^2 + 2\pi rh), where (r) is the radius and (h) is the height of the cylinder.

What is the formula for the volume of a cone with radius (r) and height (h)?

  1. (\frac{1}{3}\pi r^2h)

  2. (\frac{1}{2}\pi r^2h)

  3. (\pi r^2h)

  4. (2\pi r^2h)


Correct Option: A
Explanation:

The volume of a cone is given by the formula (\frac{1}{3}\pi r^2h), where (r) is the radius and (h) is the height of the cone.

What is the formula for the surface area of a cone with radius (r) and height (h)?

  1. (\pi r^2 + \pi rl)

  2. (2\pi r^2 + \pi rl)

  3. (\pi r^2 + 2\pi rl)

  4. (2\pi r^2 + 2\pi rl)


Correct Option: A
Explanation:

The surface area of a cone is given by the formula (\pi r^2 + \pi rl), where (r) is the radius, (h) is the height, and (l) is the slant height of the cone.

What is the formula for the volume of a sphere with radius (r)?

  1. (\frac{4}{3}\pi r^3)

  2. (\frac{1}{3}\pi r^3)

  3. (\pi r^3)

  4. (2\pi r^3)


Correct Option: A
Explanation:

The volume of a sphere is given by the formula (\frac{4}{3}\pi r^3), where (r) is the radius of the sphere.

What is the formula for the surface area of a sphere with radius (r)?

  1. (4\pi r^2)

  2. (2\pi r^2)

  3. (\pi r^2)

  4. (\frac{1}{2}\pi r^2)


Correct Option: A
Explanation:

The surface area of a sphere is given by the formula (4\pi r^2), where (r) is the radius of the sphere.

What is the formula for the volume of a pyramid with base area (B) and height (h)?

  1. (\frac{1}{3}Bh)

  2. (\frac{1}{2}Bh)

  3. (Bh)

  4. (2Bh)


Correct Option: A
Explanation:

The volume of a pyramid is given by the formula (\frac{1}{3}Bh), where (B) is the area of the base and (h) is the height of the pyramid.

What is the formula for the surface area of a pyramid with base perimeter (p) and slant height (l)?

  1. (\frac{1}{2}pl)

  2. (pl)

  3. (2pl)

  4. (3pl)


Correct Option: A
Explanation:

The surface area of a pyramid is given by the formula (\frac{1}{2}pl), where (p) is the perimeter of the base and (l) is the slant height of the pyramid.

What is the formula for the volume of a triangular prism with base area (B) and height (h)?

  1. (\frac{1}{2}Bh)

  2. (Bh)

  3. (2Bh)

  4. (3Bh)


Correct Option: A
Explanation:

The volume of a triangular prism is given by the formula (\frac{1}{2}Bh), where (B) is the area of the base and (h) is the height of the prism.

What is the formula for the surface area of a triangular prism with base perimeter (p) and slant height (l)?

  1. (pl)

  2. (2pl)

  3. (3pl)

  4. (4pl)


Correct Option: A
Explanation:

The surface area of a triangular prism is given by the formula (pl), where (p) is the perimeter of the base and (l) is the slant height of the prism.

What is the formula for the volume of a hemisphere with radius (r)?

  1. (\frac{1}{2}\cdot\frac{4}{3}\pi r^3)

  2. (\frac{1}{2}\cdot\pi r^3)

  3. (\frac{2}{3}\pi r^3)

  4. (\pi r^3)


Correct Option: A
Explanation:

The volume of a hemisphere is given by the formula (\frac{1}{2}\cdot\frac{4}{3}\pi r^3), where (r) is the radius of the hemisphere.

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