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 'B' represent in the volume formula V = B x h?

Back

B represents the area of the base of the prism.

Front

How do you find the area of a triangle?

Back

Area = (1/2) x base x height.

Front

What is the volume of a rectangular prism with length 5 cm, width 3 cm, and height 4 cm?

Back

Volume = 5 x 3 x 4 = 60 cm³.

Front

What is the volume of a triangular prism with a base area of 10 cm² and height of 5 cm?

Back

Volume = B x h = 10 x 5 = 50 cm³.

Front

If the base of a pyramid is a square with side length 6 cm, what is the area of the base?

Back

Area = side² = 6² = 36 cm².

Front

What is the height of a prism if its volume is 120 cm³ and the area of the base is 15 cm²?

Back

Height = Volume / Area of base = 120 / 15 = 8 cm.

Front

How do you calculate the volume of a cylinder?

Back

Volume = π x r² x h, where r is the radius and h is the height.

Front

What is the volume of a cone with a base radius of 3 cm and height of 9 cm?

Back

Volume = (1/3) x π x r² x h = (1/3) x π x 3² x 9 = 27π cm³.