Question

use the volume formula for a rectangular prism, $v = \ell wh$, to solve.

1. find $v$ when $\ell = 4$, $w = 6$, and $h = 2$.

$v = 4 \cdot 6 \cdot 2$
$v = 48$ units$^3$

1. find $v$ when $\ell = 50$, $w = 30$, and $h = 15$.

1. find $h$ when $v = 54$, $\ell = 6$, and $w = 3$.

1. find $h$ when $v = 512$, $\ell = 8$, and $w = 8$.

Explanation:

Step1: Calculate V for ℓ=50, w=30, h=15

$V = 50 \times 30 \times 15 = 22500$

Step2: Rearrange formula to find h

$h = \frac{V}{\ell w}$

Step3: Calculate h for V=54, ℓ=6, w=3

$h = \frac{54}{6 \times 3} = 3$

Step4: Calculate h for V=512, ℓ=8, w=8

$h = \frac{512}{8 \times 8} = 8$

Answer:

48 units³; 22500 units³; 3 units; 8 units