Volume & Word Problems Practice

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Front

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

Back

Volume = lwh, where l is the length, w is the width, and h is the height.

Front

How do you find the difference between the volumes of two shapes?

Back

Subtract the volume of the smaller shape from the volume of the larger shape.

Front

What is the volume of a shape with a base area of 20 cm² and a height of 5 cm?

Back

Volume = base area × height = 20 cm² × 5 cm = 100 cm³.

Front

What shape is the base of a cylinder?

Back

Circle.

Front

What shape is the base of a rectangular prism?

Back

Rectangle.

Front

What is the volume of a triangular prism with a base area of 10 cm² and a height of 4 cm?

Back

Volume = base area × height = 10 cm² × 4 cm = 40 cm³.

Front

What is the volume of a cube with a side length of 3 cm?

Back

Volume = s³ = 3 cm × 3 cm × 3 cm = 27 cm³.

Front

What is the volume of a cone with a radius of 2 cm and a height of 6 cm?

Back

Volume = (1/3)πr²h = (1/3)π(2 cm)²(6 cm) = 8π cm³.

Front

What is the relationship between volume and capacity?

Back

Volume measures the space occupied by a 3D object, while capacity measures how much liquid a container can hold.