Question

Find the area of the prism. The side lengths of the base are equal.

Answer 1

Let's begin by listing out the given information

`\begin{gathered} base(b)=5ft \\ height(h)=8ft \end{gathered}`

The area of the pyramid is given by the sum of the rectangular base & the 4 triangular faces:

`\begin{gathered} SA=A(RectangularBase)+A(Triangularfaces) \\ SA=b^2^{}+4((1)/(2)\cdot bh) \\ SA=5\cdot5+4((1)/(2)\cdot5\cdot8) \\ SA=25+80=105 \\ SA=105ft^2 \end{gathered}`