Review - Volume of Prisms and Pyramids

Front

What is the formula for the volume of a prism?

Back

Volume = Base Area (B) × Height (h)

Front

What is the formula for the volume of a pyramid?

Back

Volume = (1/3) × Base Area (B) × Height (h)

Front

How do you calculate the area of a triangle?

Back

Area = (1/2) × base × height

Front

If the base of a triangular pyramid is a right triangle with legs of 4 inches and 3 inches, what is the area of the base?

Back

Area = (1/2) × 4 × 3 = 6 in²

Front

What is the volume of a pyramid with a base area of 12 in² and a height of 5 inches?

Back

Volume = (1/3) × 12 × 5 = 20 in³

Front

What is the volume of a square pyramid with a base side length of 3 inches and a height of 4 inches?

Back

Volume = (1/3) × (3 × 3) × 4 = 12 in³

Front

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

Back

Volume = 5 × 4 × 3 = 60 in³

Front

If a pyramid has a volume of 15 in³ and a base area of 5 in², what is its height?

Back

Height = (3 × Volume) / Base Area = (3 × 15) / 5 = 9 inches

Front

What is the volume of a triangular prism with a base area of 10 in² and a height of 6 inches?

Back

Volume = Base Area × Height = 10 × 6 = 60 in³

Front

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

Back

The volume of the pyramid is one-third the volume of the prism.