Question

a rectangular prism is 10.5 inches wide and 8 inches tall. its volume is 1,722 cubic inches. which equation can you use to find the length of the prism, ( l )? ( 1,722 = l cdot 10.5 cdot 8 ) ( 1,722 cdot l = 10.5 cdot 8 ) what is the length of the prism? (square) inches

Explanation:

Step1: Recall volume formula for prism

The volume $V$ of a rectangular prism is $V = l \cdot w \cdot h$, where $l$ = length, $w$ = width, $h$ = height.

Step2: Substitute given values

Substitute $V=1722$, $w=10.5$, $h=8$:
$1,722 = l \cdot 10.5 \cdot 8$

Step3: Calculate product of width and height

$10.5 \cdot 8 = 84$

Step4: Solve for $l$

Rearrange to isolate $l$: $l = \frac{1722}{84}$

Step5: Compute the value

$\frac{1722}{84} = 20.5$

Answer:

Correct equation: $1,722 = l \cdot 10.5 \cdot 8$
Length of the prism: 20.5 inches