Volume of Prisms and Pyramids

Front

What is the formula for the volume of a prism?

Back

Volume = Base Area × Height

Front

What is the formula for the volume of a pyramid?

Back

Volume = (1/3) × Base Area × Height

Front

How do you find the base area of a triangular prism?

Back

Base Area = (1/2) × base × height of the triangle

Front

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

Back

Volume = 5 cm × 4 cm × 3 cm = 60 cm³

Front

If a triangular prism has a base area of 14 ft² and a height of 3 ft, what is its volume?

Back

Volume = 14 ft² × 3 ft = 42 ft³

Front

What is the volume of a rectangular pyramid with a base area of 12 m² and a height of 5 m?

Back

Volume = (1/3) × 12 m² × 5 m = 20 m³

Front

How do you calculate the volume of a prism with a circular base?

Back

Volume = π × (radius)² × height

Front

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

Back

Volume = (1/3) × (6 cm × 6 cm) × 9 cm = 108 cm³

Front

If a prism has a volume of 240 cm³ and a base area of 30 cm², what is its height?

Back

Height = Volume / Base Area = 240 cm³ / 30 cm² = 8 cm

Front

What is the relationship between the volume of a prism and its height?

Back

Volume increases linearly with height if the base area remains constant.