Question

a rectangular prism has a volume of 693 cubic centimeters. the prism has a width of 9 centimeters and a height of 7 centimeters. which equation can you use to find the length of the prism, (l)? 9·7 = 693·(l) (l)·9·7 = 693 what is the length 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 $V = 693$ cm³, $w = 9$ cm and $h = 7$ cm, substituting these values into the formula gives $l\times9\times7=693$.

Step2: Solve for length

We have the equation $l\times9\times7 = 693$, which simplifies to $63l=693$. Then $l=\frac{693}{63}=11$ cm. But the problem asks for the length in inches. Since 1 inch = 2.54 cm, $l=\frac{11}{2.54}\approx4.33$ inches.

Answer:

The correct equation is $l\cdot9\cdot7 = 693$.
The length of the prism is approximately 4.33 inches.