Volume of Prisms and Pyramids

Front

What is the formula for the volume of a prism?

Back

V = B x h, where B is the area of the base and h is the height.

Front

What is the formula for the volume of a pyramid?

Back

V = (1/3) x B x h, where B is the area of the base and h is the height.

Front

What does the 'B' in the volume formula V = B x h stand for?

Back

Area of the base.

Front

What is the volume of a rectangular pyramid with a base area of 60 square inches and a height of 10 inches?

Back

200 cubic inches.

Front

If a triangular prism has a base area of 25 square cm and a height of 16 cm, what is its volume?

Back

400 cubic cm.

Front

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

Back

V = πr²h = 45π cubic cm.

Front

What is the volume of a cone with a radius of 4 cm and a height of 9 cm?

Back

V = (1/3)πr²h = 48π cubic cm.

Front

How do you find the height of a prism if you know the volume and the base area?

Back

Height (h) = Volume (V) / Base Area (B).

Front

What is the volume of a square pyramid with a base side length of 6 cm and a height of 9 cm?

Back

V = (1/3) x (6 x 6) x 9 = 108 cubic cm.

Front

What is the difference between the volume of a prism and a pyramid with the same base area and height?

Back

The volume of a pyramid is one-third that of a prism.