Volume of Prisms and Cylinders

Front

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

Back

Volume = length × width × height

Front

What are the units for volume?

Back

Cubic units (e.g., cubic meters, cubic centimeters, cubic yards)

Front

How do you calculate the volume of a cylinder?

Back

Volume = π × radius² × height

Front

What does it mean when we say volume is measured in cubic units?

Back

It means that volume measures the three-dimensional space an object occupies.

Front

If a rectangular prism has a length of 5 yd, a width of 3 yd, and a height of 2 yd, what is its volume?

Back

30 yd³

Front

True or False: The volume of an object can be negative.

Back

False

Front

What is the volume of a cylinder with a radius of 3 yd and a height of 5 yd?

Back

Volume = π × 3² × 5 ≈ 141.37 yd³

Front

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

Back

Volume = Base Area × Height

Front

If the volume of a rectangular prism is 60 yd³ and its height is 4 yd, what is the area of its base?

Back

Base Area = Volume ÷ Height = 60 yd³ ÷ 4 yd = 15 yd²

Front

What is the volume of a cube with a side length of 4 cm?

Back

Volume = side³ = 4 cm × 4 cm × 4 cm = 64 cm³