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Three-Dimensional Geometry and Surface Area Quiz

#1

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

V = l^3
Explanation

Volume equals the length cubed.

#2

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

SA = 4 * π * r^2
Explanation

Surface area equals 4 times π times the radius squared.

#3

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

2 * π * r * h
Explanation

Total surface area equals 2 times π times the radius times the height.

#4

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

V = 1/3 * π * r^2 * h
Explanation

Volume equals one-third times π times the radius squared times the height.

#5

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

V = 1/3 * B * h
Explanation

Volume equals one-third times the base area times the height.

#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
Explanation

Surface area equals π times the radius squared plus π times the radius times the slant height.

#7

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

V = 1/3 * B * h
Explanation

Volume equals one-third times the base area times the height.

#8

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

SA = 2 * π * r * l
Explanation

Lateral surface area equals 2 times π times the radius times the slant height.

#9

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

V = l * w * h
Explanation

Volume equals length times width times height.

#10

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

SA = 2 * π * r * h
Explanation

Lateral surface area equals 2 times π times the radius times the height.

#11

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

SA = 2 * π * r * (r + l)
Explanation

Total surface area equals 2 times π times the radius times the sum of the radius and the slant height.

#12

What is the formula for the volume of a sphere?

V = 4/3 * π * r^3
Explanation

Volume equals four-thirds times π times the radius cubed.

#13

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

SA = 6 * l^2
Explanation

Surface area equals 6 times the length squared.

#14

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

V = 4/3 * π * (d/2)^3
Explanation

Volume equals four-thirds times π times half of the diameter cubed.

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