Topic 59 Volume

Front

What happens to the volume of a solid if all its dimensions are divided by 3?

Back

The volume is divided by 27.

Front

What is the formula for the volume of a cube?

Back

Volume = side³

Front

If the side length of a cube is 4 cm, what is its volume?

Back

64 cm³

Front

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

Back

Volume = length × width × height

Front

If a rectangular prism has dimensions 3 cm, 4 cm, and 5 cm, what is its volume?

Back

60 cm³

Front

What is the relationship between the dimensions of a solid and its volume?

Back

Volume changes with the cube of the change in dimensions.

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

Volume = π × radius² × height = 45π cm³.

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3)π × radius³

Front

If the radius of a sphere is 2 cm, what is its volume?

Back

(32/3)π cm³.

Front

What is the effect on volume if the radius of a cylinder is doubled?

Back

The volume is increased by a factor of 4.