Question

Please show formula and explain work in 6th grade format

Answer 1

The surface area of a pyramid is given as:

`SA=(1)/(2)pl+B`

where p is the perimeter of the base, l is the slant height and B is the area of the base.

In this case the slant height is 4 in.

Now, since the base is a square which sides that has length 5 in. then the perimeter is:

`p=4\cdot5=20`

The area of the base is the length of the side squared, then we have:

`B=5^2=25`

Once we know the values we plug them in the formula, then we have:

`\begin{gathered} SA=(1)/(2)(20)(4)+25 \\ SA=40+25 \\ SA=65 \end{gathered}`

Therefore the surface area is 65 squared inches.