Area and Volume

Question 1

What is the formula for the volume of a cube?

Answer 1

Volume = side length^3

Question 2

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

Answer 2

Total surface area = 6 * side length^2

Question 3

What is the formula for the volume of a rectangular prism?

Answer 3

Volume = length * width * height

Question 4

What is the formula for the total surface area of a rectangular prism?

Answer 4

Total surface area = 2 * (length * width + width * height + height * length)

Question 5

What is the formula for the volume of a sphere?

Answer 5

Volume = (4/3) * π * radius^3

Question 6

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

Answer 6

Total surface area = 4 * π * radius^2

Question 7

What is the formula for the volume of a cylinder?

Answer 7

Volume = π * radius^2 * height

Question 8

What is the formula for the total surface area of a cylinder?

Answer 8

Total surface area = 2 * π * radius * (radius + height)

Question 9

What is the formula for the volume of a cone?

Answer 9

Volume = (1/3) * π * radius^2 * height

Question 10

What is the formula for the total surface area of a cone?

Answer 10

Total surface area = π * radius * (radius + slant height)

Question 11

What is the formula for the volume of a pyramid?

Answer 11

Volume = (1/3) * base area * height

Question 12

What is the formula for the total surface area of a pyramid?

Answer 12

Total surface area = base area + (1/2) * perimeter * slant height

Question 13

What is the formula for the volume of a triangular prism?

Answer 13

Volume = (1/2) * base area * height

Question 14

What is the formula for the total surface area of a triangular prism?

Answer 14

Total surface area = base perimeter * height + 2 * base area

Question 15

What is the formula for the volume of a hexagonal prism?

Answer 15

Volume = (3/2) * base area * height

Question 16

What is the formula for the total surface area of a hexagonal prism?

Answer 16

Total surface area = 6 * base area + 6 * base perimeter * height

Question 17

What is the formula for the volume of a pentagonal pyramid?

Answer 17

Volume = (1/3) * base area * height

Question 18

What is the formula for the total surface area of a pentagonal pyramid?

Answer 18

Total surface area = base area + (1/2) * perimeter * slant height

Question 19

What is the formula for the volume of a cylinder with a hemisphere on top?

Answer 19

Volume = π * radius^2 * height + (2/3) * π * radius^3

Question 20

What is the formula for the total surface area of a cylinder with a hemisphere on top?

Answer 20

Total surface area = 2 * π * radius * (radius + height) + 2 * π * radius^2

Question 21

What is the formula for the volume of a cone with a hemisphere on top?

Answer 21

Volume = (1/3) * π * radius^2 * height + (2/3) * π * radius^3

Question 22

What is the formula for the total surface area of a cone with a hemisphere on top?

Answer 22

Total surface area = π * radius * (radius + slant height) + 2 * π * radius^2

Question 23

What is the formula for the volume of a pyramid with a hemisphere on top?

Answer 23

Volume = (1/3) * base area * height + (2/3) * π * radius^3

Question 24

What is the formula for the total surface area of a pyramid with a hemisphere on top?

Answer 24

Total surface area = base area + (1/2) * perimeter * slant height + 2 * π * radius^2