Volume of Prisms and Cylinders

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 cylinder?

Back

Volume = π × Radius² × Height

Front

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

Back

Base Area = Length × Width

Front

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

Back

Base Area = (Base × Height of Triangle) / 2

Front

What is the volume of a prism with a base area of 10 square units and a height of 5 units?

Back

Volume = 10 × 5 = 50 cubic units

Front

If a cylinder has a radius of 3 inches and a height of 10 inches, what is its volume?

Back

Volume = π × 3² × 10 ≈ 94.25 cubic inches

Front

What is the volume of a cylinder with a radius of 4 cm and a height of 6 cm?

Back

Volume = π × 4² × 6 ≈ 301.59 cm³

Front

How do you convert cubic centimeters to liters?

Back

1 liter = 1000 cubic centimeters.

Front

What is the volume of a prism with a base area of 12 square meters and a height of 3 meters?

Back

Volume = 12 × 3 = 36 cubic meters

Front

If a cylinder has a height of 5 inches and a volume of 60π cubic inches, what is its radius?

Back

Radius = √(Volume / (π × Height)) = √(60π / (π × 5)) = √12 = 3.46 inches