Math 6 Surface Area and Volume Practice Test

Front

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

Back

The volume of a rectangular prism is calculated using the formula: \( V = l \times w \times h \), where \( l \) is the length, \( w \) is the width, and \( h \) is the height.

Front

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

Back

The surface area of a rectangular prism is calculated using the formula: \( SA = 2lw + 2lh + 2wh \), where \( l \) is the length, \( w \) is the width, and \( h \) is the height.

Front

How do you find the volume of a rectangular prism with dimensions 3 ft, 4 ft, and 5 ft?

Back

To find the volume, use the formula: \( V = l \times w \times h = 3 \times 4 \times 5 = 60 \text{ ft}^3 \).

Front

How do you find the surface area of a rectangular prism with dimensions 3 ft, 4 ft, and 5 ft?

Back

To find the surface area, use the formula: \( SA = 2lw + 2lh + 2wh = 2(3 \times 4) + 2(3 \times 5) + 2(4 \times 5) = 6 + 30 + 40 = 76 \text{ ft}^2 \).

Front

What is the volume of a rectangular prism with a length of 9 ft, width of 2 ft, and height of 3 ft?

Back

The volume is calculated as follows: \( V = l \times w \times h = 9 \times 2 \times 3 = 54 \text{ ft}^3 \).

Front

What is the surface area of a rectangular prism with a length of 9 ft, width of 2 ft, and height of 3 ft?

Back

The surface area is calculated as follows: \( SA = 2lw + 2lh + 2wh = 2(9 \times 2) + 2(9 \times 3) + 2(2 \times 3) = 36 + 54 + 12 = 102 \text{ ft}^2 \).

Front

What is the volume of a rectangular prism with dimensions 4 in, 5 in, and 6 in?

Back

The volume is \( V = 4 \times 5 \times 6 = 120 \text{ in}^3 \).

Front

What is the surface area of a rectangular prism with dimensions 4 in, 5 in, and 6 in?

Back

The surface area is \( SA = 2(4 \times 5) + 2(4 \times 6) + 2(5 \times 6) = 40 + 48 + 60 = 148 \text{ in}^2 \).

Front

What is the volume of a rectangular prism with dimensions 2 m, 3 m, and 4 m?

Back

The volume is \( V = 2 \times 3 \times 4 = 24 \text{ m}^3 \).

Front

What is the surface area of a rectangular prism with dimensions 2 m, 3 m, and 4 m?

Back

The surface area is \( SA = 2(2 \times 3) + 2(2 \times 4) + 2(3 \times 4) = 12 + 16 + 24 = 52 \text{ m}^2 \).