Volume of Pyramids

Front

What is the formula for calculating the volume of a pyramid?

Back

Volume = (1/3) × Base Area × Height

Front

What is the volume of a pyramid with a base area of 36 yd² and a height of 6 yd?

Back

Volume = (1/3) × 36 yd² × 6 yd = 72 yd³

Front

True or False: The volume of a rectangular pyramid is found by multiplying the area of the base by the height and then dividing by 3.

Back

True

Front

What is the volume of a pyramid with a base area of 50 cm² and a height of 12 cm?

Back

Volume = (1/3) × 50 cm² × 12 cm = 200 cm³

Front

Which measurement is NOT needed to calculate the volume of a pyramid?

Back

The slant height is not needed; only the base area and height are required.

Front

True or False: To find the volume of a triangular prism, you must divide by 3 after multiplying the base area by the height.

Back

False; you do not divide by 3 for a triangular prism.

Front

What is the volume of a pyramid with a square base of side length 4 m and a height of 9 m?

Back

Base Area = 4 m × 4 m = 16 m²; Volume = (1/3) × 16 m² × 9 m = 48 m³

Front

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

Back

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

Front

If a pyramid has a base area of 24 ft² and a height of 3 ft, what is its volume?

Back

Volume = (1/3) × 24 ft² × 3 ft = 24 ft³

Front

What is the volume of a pyramid with a base area of 100 m² and a height of 15 m?

Back

Volume = (1/3) × 100 m² × 15 m = 500 m³