Solids

Test your understanding of solids in geometry.

15 Questions Published

Questions

Question 1 Multiple Choice (Single Answer)

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

  1. \(s^3\)
  2. \(s^2\)
  3. \(2s^3\)
  4. \(4s^3\)
Question 2 Multiple Choice (Single Answer)

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. \(s^2\)
Question 3 Multiple Choice (Single Answer)

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. \(l^2w^2h^2\)
Question 4 Multiple Choice (Single Answer)

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. \(l^2 + w^2 + h^2\)
Question 5 Multiple Choice (Single Answer)

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. \(2\pi r^3\)
Question 6 Multiple Choice (Single Answer)

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. \(\pi r^2\)
Question 7 Multiple Choice (Single Answer)

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. \(2\pi r^2h\)
Question 8 Multiple Choice (Single Answer)

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. \(2\pi r^2 + 2\pi rl\)
Question 9 Multiple Choice (Single Answer)

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. \(2\pi r^3\)
Question 10 Multiple Choice (Single Answer)

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. \(\frac{1}{2}\pi r^2\)
Question 11 Multiple Choice (Single Answer)

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. \(2Bh\)
Question 12 Multiple Choice (Single Answer)

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. \(3pl\)
Question 13 Multiple Choice (Single Answer)

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. \(3Bh\)
Question 14 Multiple Choice (Single Answer)

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. \(4pl\)
Question 15 Multiple Choice (Single Answer)

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. \(\pi r^3\)