The surface area of the given right rectangular prism is [tex]\frac{280}{9}[/tex] square yard.
what is surface area ?
The measure of the total area that the surface of the object occupies is called surface area.
Formula to find the surface area of right rectangular prism:
[tex]s=2(lw+lh+wh)[/tex]
where , s is the surface area
l ,w and h are the length, width and height of the rectangular prism respectively.
we have,
l(length)=3yd
w(width)[tex]=1\frac{1}{3}yd[/tex][tex]=\frac{4}{3} yd[/tex]
h(height)[tex]=2\frac{2}{3} yd[/tex][tex]=\frac{8}{3} yd[/tex]
Therefore,
The surface area of the right rectangular prism =[tex]2(lw+lh+wh)[/tex]
substitute the values of l, w and h in the above expression.
⇒ surface area of the rectangular prism[tex]=2(3[/tex]×[tex]\frac{4}{3}[/tex][tex]+3[/tex]×[tex]\frac{8}{3}[/tex]+[tex]\frac{4}{3}[/tex]×[tex]\frac{8}{3})[/tex]
[tex]=2(\frac{12}{3} +\frac{24}{3} +\frac{32}{9} )[/tex]
[tex]=2(\frac{140}{9} )[/tex]
[tex]=\frac{280}{9} square yard[/tex] or [tex]31\frac{1}{9} square yard[/tex]
Hence, the surface area of the given right rectangular prism is [tex]\frac{280}{9}[/tex] square yard.
Learn more about the surface area of right rectangular prism here:
https://brainly.com/question/26617635
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