Question

Nate plans to make a gift box for a necklace using the net shown below. The net is shown. How many square inches of cardboard does Nate need to make the box?

Answer 1

16.2 inch²

Explanation:

The attached picture consists of 4 equilateral triangles :

Height of equilateral triangle = 2.7 inches

Base of triangle = 3 inches

Area of triangle = 1/2 * base * height

Area of triangle = 1/2 * 3 * 2.7

Area of triangle = 4.05 inch²

Number of square inches of cardboard needed :

Area of each triangle * number of Equilateral triangles

4 * 4.05 inch²

= 16.2 inch²