Question

Find the surface area of a rectangle solid with edges of length 2cm,5cm, and 7cm

Answer 1

The surface area for a rectangular prism is given to be:

$A=2(lw+lh+wh)$

where l, w, and h are the lengths of the solid.

From the question, we have:

$\begin{gathered} l=2\text{ cm} \\ w=5\text{ cm} \\ h=7\text{ cm} \end{gathered}$

Therefore, the volume is calculated to be:

$\begin{gathered} A=2((2\times5)+(2\times7)+(5\times7)) \\ A=2(10+14+35) \\ A=2(59) \\ A=118\text{ cm}^2 \end{gathered}$

The surface area is 118 square centimeters.