Question

1. Find the surface area and volume of box where: L = 31.59ft, W = 24.98ft and H = 43.23ft.

Answer 1

`\begin{gathered} A=6469.28ft^2 \\ V=34113.58ft^3 \end{gathered}`

Step-by-step explanation

The surface area of the box (rectangular prism) is:

`A=2(LW+WH+LH)`

where L = length; W = width; H= height

Therefore, we have that the surface area of the box is:

`\begin{gathered} A=2\lbrack(31.59\cdot24.98)+(24.98\cdot43.23)+(31.59\cdot43.23)\rbrack \\ A=2\lbrack(789.1182)+(1079.8854)+(1365.6357)\rbrack \\ A=2(3234.6393) \\ A\approx6469.28ft^2 \end{gathered}`

The volume of the box is:

`V=L\cdot W\cdot H`

Therefore, the volume of the box is:

`\begin{gathered} V=31.59\cdot24.98\cdot43.23 \\ V\approx34113.58ft^3 \end{gathered}`