Question

What is the total surface area? After that, add and then put in subscript. Label the net

Answer 1

Useful Formulas:

`\begin{gathered} Area\text{ }of\text{ }triangle=(1)/(2)bh \\ Area\text{ }of\text{ }square=l^2 \end{gathered}`

SOLUTION

All four triangles are identical. They all have the following parameters:

`\begin{gathered} b=16\text{ yd} \\ h=15\text{ yd} \end{gathered}`

Therefore, the areas are equal:

`A_U=A_V=A_X=A_Y`

Hence, we can calculate the area to be:

`A_U=(1)/(2)*16*15=120\text{ yd}^2`

The area of the base, W, is calculated to be:

`\begin{gathered} l=16\text{ yd} \\ \therefore \\ A_W=16^2=256\text{ yd}^2 \end{gathered}`

The total surface area is calculated as:

`A=A_U+A_V+A_W+A_X+A_Y`

Therefore, the total surface area will be:

`\begin{gathered} A=120+120+256+120+120 \\ A=736\text{ yd}^2 \end{gathered}`

The total surface area is 736 square yards.