Volume of Prisms and Cylinders

Front

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

Back

Volume = length × width × height

Front

Calculate the volume of a rectangular prism with length 10 cm, width 5 cm, and height 2 cm.

Back

Volume = 10 cm × 5 cm × 2 cm = 100 cm³

Front

What is the formula for the volume of a cylinder?

Back

Volume = π × radius² × height

Front

If a cylinder has a radius of 3 cm and a height of 5 cm, what is its volume?

Back

Volume = π × (3 cm)² × 5 cm ≈ 141.37 cm³

Front

What is the definition of volume?

Back

Volume is the amount of space an object occupies.

Front

True or False: The volume of an object can be measured in cubic units.

Back

True

Front

What is the volume of a fish tank that is 45 cm long, 25 cm wide, and 10 cm deep?

Back

Volume = 45 cm × 25 cm × 10 cm = 11250 cm³

Front

Find the volume of a rectangular prism with dimensions 5 yd, 6 yd, and 11 yd.

Back

Volume = 5 yd × 6 yd × 11 yd = 330 yd³

Front

What is the volume of a prism with a base area of 12 yd² and a height of 2 yd?

Back

Volume = base area × height = 12 yd² × 2 yd = 24 yd³

Front

If the volume of a cylinder is 80 cm³ and the height is 4 cm, what is the radius?

Back

Volume = π × radius² × height; 80 cm³ = π × radius² × 4 cm; radius ≈ 3.57 cm.