Question

Hello I’m having trouble getting the answer for this question.

Answer 1

We are asked to determine the surface area of the given figure. To do that we need to count the number of squares on each face, and we need to have into account that each square is equivalent to 1 square yards. Also, we need to have into account that each face repeats itself two times.

For the front face we have:

`A_f=10yd^2`

For the side face:

`A_s=6yd^2`

For the top face:

`A_t=15yd^2`

Now we add all the areas, multiplying each one by 2:

`A=2A_f+2A_s+2A_t`

Repalcing:

`\begin{gathered} A=2(10)+2(6)+2(15)_{} \\ A=62yd^2 \end{gathered}`

Therefore, the surface area of the figure is 62 square yards.