Lesson 14A Volume of Prisms and Cylinders

Front

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

Back

Volume = length × width × height

Front

What is the formula for the volume of a cylinder?

Back

Volume = π × radius² × height

Front

Define volume in the context of geometry.

Back

Volume is the amount of space an object occupies.

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 20 cm² and a height of 5 cm?

Back

Volume = base area × height = 20 cm² × 5 cm = 100 cm³.

Front

Estimate the volume of a cylinder with a radius of 3 cm and a height of 10 cm.

Back

Volume ≈ π × (3 cm)² × (10 cm) ≈ 94.25 cm³.

Front

If a fish tank has dimensions 45 cm × 25 cm × 10 cm, what is its volume?

Back

Volume = 45 cm × 25 cm × 10 cm = 11250 cm³.

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.

Front

How do you find the volume of a composite shape?

Back

Calculate the volume of each individual shape and then sum them up.

Front

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

Back

The volume of a cylinder increases linearly with height, assuming the radius remains constant.