Question

The figure below is a net for a triangular prism. What is the surface area of the triangular prism, in square centimeters?

Answer 1

Explanation

We are given a figure of a triangular prism which can be divided into various shapes as follows:

• Rectangle A

,

• Rectangle B

,

• Rectangle C

,

• Triangle D

,

• Triangle E

Further explanation on this is shown in the image below:

From the above image, we can deduce that:

`\begin{gathered} Rectangle\text{ }A\rightarrow Length(7cm);\text{ }width(6cm) \\ Rectangle\text{ }B\rightarrow Length(7cm);\text{ }width(5cm) \\ Rectangle\text{ }C\rightarrow Length(7.81cm);\text{ }width(7cm) \\ Trangle\text{ }D=Triangle\text{ }E\rightarrow Height(6cm);\text{ }Base(5cm) \end{gathered}`

The surface area of the whole figure is the sum of all areas of shape A-E. This is calculated as:

Hence, the answer is 161.67cm².