Surface area and Volume Practice

Front

What is surface area?

Back

Surface area is the total area that the surface of a three-dimensional object occupies. It can be thought of as wrapping the outside of a 3D shape.

Front

What is volume?

Back

Volume is the amount of space that can fit inside an object, measured in cubic units.

Front

How do you find the volume of a cylinder?

Back

Volume of a cylinder = π × radius² × height.

Front

If a cylinder has a radius of 5 cm and a height of 10 cm, what is its volume?

Back

Volume = π × (5 cm)² × (10 cm) ≈ 785.4 cm³.

Front

What is the formula for the surface area of a cylinder?

Back

Surface area = 2πr(h + r), where r is the radius and h is the height.

Front

How do you calculate the surface area of a rectangular prism?

Back

Surface area = 2(lw + lh + wh), where l is length, w is width, and h is height.

Front

What is the relationship between surface area and volume?

Back

Surface area and volume are both measures of a 3D shape, but surface area measures the outer area while volume measures the space inside.

Front

A cube has a side length of 4 cm. What is its volume?

Back

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

Front

What is the volume of a sphere?

Back

Volume of a sphere = (4/3)πr³, where r is the radius.

Front

If a sphere has a radius of 3 cm, what is its volume?

Back

Volume = (4/3)π(3 cm)³ ≈ 113.1 cm³.