7.9A Volume of Rectangular and Triangular Prisms and Pyramid

Front

What is the formula for the volume of a rectangular prism?

Back

Volume = Length × Width × Height

Front

If a rectangular prism has a length of 10 cm, a width of 5 cm, and a height of 2 cm, what is its volume?

Back

Volume = 10 cm × 5 cm × 2 cm = 100 cm³

Front

What is the formula for the volume of a triangular prism?

Back

Volume = (Base Area × Height) / 2

Front

If the base of a triangular prism is 4 cm and the height of the triangle is 3 cm, and the prism is 10 cm long, what is its volume?

Back

Volume = (1/2 × Base × Height) × Length = (1/2 × 4 cm × 3 cm) × 10 cm = 60 cm³

Front

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

Back

Volume = (Base Area × Height) / 3

Front

If a triangular pyramid has a base area of 12 cm² and a height of 9 cm, what is its volume?

Back

Volume = (12 cm² × 9 cm) / 3 = 36 cm³

Front

What is the volume of a rectangular prism with dimensions 5 in × 6 in × 13 in?

Back

Volume = 5 in × 6 in × 13 in = 390 in³

Front

What is the volume of a triangular prism with a base area of 6 cm² and a height of 8 cm?

Back

Volume = Base Area × Height = 6 cm² × 8 cm = 48 cm³

Front

How do you convert cubic feet to cubic centimeters?

Back

1 cubic foot = 28,316.8 cubic centimeters.

Front

What is the volume of a rectangular prism with a volume of 720 cubic feet, length of 15 feet, and width of 8 feet?

Back

Height = Volume / (Length × Width) = 720 ft³ / (15 ft × 8 ft) = 6 ft.