Question

A party favor is made up of four equal solids and is constructed from paper. each of the four solids is open at the end. the net represents one of the solids. a net of a solid has a square base with side lengths of 2 inches, and 4 triangular sides with a height of 3 inches. b is the base, and c, d, and a are the triangular sides. how much paper is needed to make a party favor? to calculate the surface area, you would exclude the area of face . one of the four pyramids has a surface area of in.2. one party favor, which consists of four of the equal solids, has a surface area of in.2.

Answer 1

The surface area of the solid is 4 + 6b

How to determine the area of the solid?

The solid consist of the following shapes:

• 1 square of length 2 inches
• 4 triangles of height 3 inches and base b

The area of the solid is:

Area = Area of square + 4 * area of triangle

This gives

Area = 2 * 2 + 4 * 0.5 * 3 * b

Evaluate

Area = 4 + 6b

Hence, the surface area of the solid is 4 + 6b

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