Question

Find the surface area of the prism 6ft 4ft 3ft

Answer 1

$\text{Area}=108\text{ }ft^2$

Explanation

Step 1

to find the total area we need divide the prism into its faces,so

so, the total area is,the sum of the areas of the rectangles that make the prism

$\begin{gathered} \text{Area}=\text{ 2times area of gr}een\text{ rectangle+2 times area of red rectangles+2 times area of blu}e\text{ rectangle, so} \\ \text{Area}=2(Area_{green}+Area_{red}+Area_{blue}) \end{gathered}$

the area of a rectangle is given by.

$\text{Area}_{rec\tan gle}=length\cdot widht$

then, replace

$\begin{gathered} \text{Area}=2(6\cdot4+6\cdot3+4\cdot3)ft^2 \\ \text{Area}=2(24+18+12)ft^2 \\ \text{Area}=2(54)ft^2 \\ \text{Area}=108\text{ }ft^2 \end{gathered}$

I hope this helps you