Three-Dimensional Geometry and Surface Area Quiz

Test your knowledge on three-dimensional geometry with this quiz covering formulas for cubes, spheres, cylinders, cones, and more!

#1

What is the formula to find the volume of a cube?

V = l * w * h
V = 4/3 * π * r^3
V = l^3
V = 2 * π * r * h
#2

What is the formula for the surface area of a sphere?

SA = 2 * π * r
SA = 4 * π * r^2
SA = π * r^2 * h
SA = π * r^2
#3

What is the total surface area of a cylinder with radius 'r' and height 'h'?

2 * π * r * h
2 * π * r
π * r^2
4 * π * r^2
#4

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

V = π * r^2 * h
V = 1/3 * π * r^2 * h
V = 2/3 * π * r * h
V = 4/3 * π * r^3
#5

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

V = 1/3 * B * h
V = B * h
V = 1/2 * B * h
V = 2/3 * B * h
#6

What is the formula for the surface area of a cone with radius 'r' and slant height 'l'?

SA = π * r^2 + π * r * l
SA = π * r^2 + π * l
SA = 2 * π * r * l
SA = 2 * π * r * (r + l)
#7

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

V = 1/3 * B * h
V = B * h
V = 1/2 * B * h
V = 2/3 * B * h
#8

What is the formula for the lateral surface area of a cone with radius 'r' and slant height 'l'?

SA = π * r^2 + π * r * l
SA = π * r^2 + π * l
SA = 2 * π * r * l
SA = 2 * π * r * (r + l)
#9

What is the volume of a rectangular prism with length 'l', width 'w', and height 'h'?

V = l * w * h
V = l + w + h
V = 2 * (l + w + h)
V = l^3
#10

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

SA = π * r^2
SA = 2 * π * r * h
SA = 2 * π * r
SA = 2 * π * r * (r + h)
#11

What is the total surface area of a cone with radius 'r' and slant height 'l'?

SA = π * r^2 + π * r * l
SA = π * r^2 + π * l
SA = 2 * π * r * l
SA = 2 * π * r * (r + l)
#12

What is the formula for the volume of a sphere?

V = 4/3 * π * r
V = 4/3 * π * r^3
V = 2/3 * π * r^3
V = π * r^2
#13

What is the formula for the surface area of a cube?

SA = 6 * l
SA = 4 * l
SA = l^3
SA = 6 * l^2
#14

What is the formula for the volume of a sphere in terms of its diameter 'd'?

V = 4/3 * π * r^3
V = 4/3 * π * (d/2)^3
V = 2/3 * π * r^3
V = π * r^2

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