Answer
$V=224 \text{ cubic feet}$
$\text{surface area} = 232 \text{ square feet}$
Work Step by Step
RECALL:
(1) The surface area of a rectangular box is given by the formula:
$\text{surface area} = 2lh + 2wh + 2lw$
where l = length, w = width, and h = height
(2) The volume $V$ of a rectangular box is given by the formula:
$V = lwh$
where l = length, w = width, and h = height
The given rectangular box has:
length = 8 feet
width = 4 feet
height = 7 feet
Use the formulas and the given measurements above to obtain:
$V=lwh
\\V=8(4)(7)
\\V=224 \text{ cubic feet}$
$\text{surface area} = 2lh + 2wh + 2lw
\\\text{surface area} = 2(8)(7) + 2(4)(7) + 2(8)(4)
\\\text{surface area} = 112+56+64
\\\text{surface area} = 232 \text{ square feet}$
