Question

a rectangular prism has a volume of 2,730 cubic inches. the prism has a length of 15 inches and a height of 14 inches. which equation can you use to find the width of the prism, w? $15\cdot w\cdot 14 = 2,730$ $2,730\cdot 15\cdot 14 = w$ what is the width of the prism? \boxed{} 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.
Substitute given values: $15 \cdot w \cdot 14 = 2,730$

Step2: Simplify left side of equation

Calculate $15 \times 14$:
$15 \times 14 = 210$
Equation becomes: $210w = 2,730$

Step3: Solve for $w$

Divide both sides by 210:
$w = \frac{2,730}{210}$

Step4: Compute the value of $w$

$\frac{2,730}{210} = 13$

Answer:

Correct equation: $15 \cdot w \cdot 14 = 2,730$
Width of the prism: 13 inches