Question

A 3 inch wide wooden bookend that is shaped like a
triangular prism is going to be painted. It measures 8
inches by 6 inches and 10 inches on it slant. How much
area needs to be painted?

Answer 1

The area that needs to be painted is 126 in²

Explanation:

Given:

Base, b = 6 in

Height, h = 8 in

Slant height, s = 10 in

Length, l = 3 in

Area that needs to be painted = ?

In order to find the area that needs to be painted we need to find the surface area of the triangular prism.

We know,

Surface area = bh + 2ls + lb

On substituting the value, we get:

$A = 6 X 8 + 2 X3X10 + 3 X6\\\\A = 48 + 60 + 18\\\\A = 126 in^2$

Therefore, the area that needs to be painted is 126 in²