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? 2,730·15·14 = w 15·w·14 = 2,730 what is the width of the prism? inches

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular prism is $V = l\times w\times h$, where $V$ is volume, $l$ is length, $w$ is width and $h$ is height. Given $V = 2730$, $l = 15$ and $h=14$, we get $15\times w\times14 = 2730$.

Step2: Solve for $w$

First, simplify the left - hand side of the equation $15\times14\times w=210w$. So the equation becomes $210w = 2730$. Then, divide both sides by 210: $w=\frac{2730}{210}$.

Step3: Calculate the value of $w$

$\frac{2730}{210}=13$.

Answer:

The equation is $15\cdot w\cdot14 = 2730$.
The width of the prism is 13 inches.