Answer
(a) The area of the base is $~~24~in^2$
(b) $altitude = 3.1~in$
Work Step by Step
(a) We can find the area of the base:
$V = \frac{1}{3}~(base~area)(altitude)$
$base~area = \frac{3V}{altitude}$
$base~area = \frac{(3)(32~in^3)}{4~in}$
$base~area = 24~in^2$
The area of the base is $~~24~in^2$
(b) We can find the length of the altitude:
$V = \frac{1}{3}~(base~area)(altitude)$
$altitude = \frac{3V}{base~area}$
$altitude = \frac{(3)(32~in^3)}{31.23~in^2}$
$altitude = 3.1~in$
