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

Find the surface area of the prism 6ft 4ft 3ft-example-1
User Imbondbaby
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1 Answer

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

Step-by-step 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

Find the surface area of the prism 6ft 4ft 3ft-example-1
User Ungalnanban
by
4.6k points