Surface Area and Nets: Grade 6 Math Test – PDF Download

Question 1: Identify the solid (2 points)

Name the solid that each net folds into.

1. The first net (1 point)
2. The second net (1 point)

Question 2: Cube (2 points)

Find the surface area of a cube with edges of \(9\text{ in}\).

Question 3: Rectangular prism (3 points)

Find the surface area of a rectangular prism that is \(7\text{ in}\) long, \(5\text{ in}\) wide, and \(4\text{ in}\) tall.

Question 4: Triangular prism (3 points)

Find the surface area of the triangular prism whose net is shown. Each triangle has a base of \(6\text{ ft}\) and a height of \(4\text{ ft}\), and the other two sides are \(5\text{ ft}\). The prism is \(9\text{ ft}\) long.

Question 5: Square pyramid (3 points)

A square pyramid has a base edge of \(8\text{ in}\). Each triangular face has a slant height of \(7\text{ in}\). Find its surface area.

Question 6: Painting a crate (3 points)

Aisha paints the outside of a closed wooden crate that is \(5\text{ ft}\) long, \(3\text{ ft}\) wide, and \(2\text{ ft}\) tall. One can of paint covers \(40\text{ ft}^2\).

1. Find the surface area of the crate. (2 points)
2. Find the number of cans needed for one coat. (1 point)

Question 7: Aquarium glass (3 points)

An aquarium has no top. It is \(24\text{ in}\) long, \(12\text{ in}\) wide, and \(16\text{ in}\) tall. The glass costs \(\$0.05\) per square inch.

1. Find the area of glass needed. (2 points)
2. Find the cost of the glass. (1 point)

Question 8: Cube edge (1 point)

A cube has a surface area of \(150\text{ in}^2\). Find the length of one edge.

See every chapter on the Grade 6 math page.