Surface Area and Volume

Front

What is Surface Area?

Back

Surface Area is the total area that the surface of a three-dimensional object occupies. It is measured in square units.

Front

What is Volume?

Back

Volume is the amount of space that a three-dimensional object occupies. It is measured in cubic units.

Front

How do you calculate the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

What is the formula for the surface area of a rectangular prism?

Back

Surface Area = 2(length × width + length × height + width × height).

Front

If a rectangular prism has a length of 5 cm, width of 4 cm, and height of 3 cm, what is its volume?

Back

Volume = 5 cm × 4 cm × 3 cm = 60 cm³.

Front

What is the volume of a cube with a side length of 2 inches?

Back

Volume = side³ = 2 in × 2 in × 2 in = 8 in³.

Front

How do you find the surface area of a cube?

Back

Surface Area = 6 × (side length)².

Front

If a cube has a side length of 3 cm, what is its surface area?

Back

Surface Area = 6 × (3 cm)² = 54 cm².

Front

What is the relationship between surface area and volume?

Back

Surface area and volume are both measures of space, but surface area measures the exterior while volume measures the interior.

Front

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

Back

Volume = π × radius² × height = π × (3 cm)² × 5 cm ≈ 141.37 cm³.