Question

An artist plans to paint bricks.

(a) Find the surface area of the brick.

Answer 1

Hint: Identify the shape of the brick and then use the formula to find the surface area of the brick.

Step :Find the Surface area of a shape:

The brick is in the shape of the rectangular prism. The surface area of the prism is given:

$S=2lw+2wh+2hl$

Where $l,b,h$ are the length, width and the height of the brick.

Here, $l=10$ inches, $w=4$ inches & $h=3$ inches.

Let’s substitute all these values in the formula:

$$\begin{gathered} S=2\left(10\right)\left(4\right)+2\left(10\right)\left(3\right)+2\left(4\right)\left(3\right) \\ S=2\times 10\times 4+2\times 10\times 3+2\times 4\times 3 \\ S=80+60+24 \\ S=164 \end{gathered}$$

Therefore, The surface area of the brick is $164i{n}^2.$