Question

What is the surface area of this design? 5 in. 5 in. 560 in2 8 in. 490 in2 600 in 2 in. 440 in2 10 in. in

Answer 1

To find the surface area of the desing you need to find the are for all of the faces of the figure.

at the bottom we have a rectangular prism of sides 10, 10 and 2

sind the top, bottom and sides os this prism

$\begin{gathered} \text{top and bottom} \\ 2\cdot10in\cdot10in=200in^2 \\ \text{sides } \\ 4\cdot10in\cdot2in^2=80in^2 \end{gathered}$

total surface area at the bottom prism

$200+80=280in^2$

for the prism at the top we just add the area from the sides because the top was already considered at the top of the previous prism

$\begin{gathered} \text{sides} \\ 4\cdot8in\cdot5in=160in^2 \end{gathered}$

total surface are of the design is

$280+160=440in^2$