Question

ruths grandmother gave her a beautiful hand - carved cedar chest for storing sweaters. the chest is shaped like a rectangular prism and has a volume of 12 cubic feet. it is 3 feet long and 2 feet wide. which equation can you use to find how deep the chest is, d? d = 3·2·12 3·2·d = 12 how deep is the chest? feet

Explanation:

Step1: Recall volume formula

The volume $V$ of a rectangular prism is $V = l\times w\times h$, where $l$ is length, $w$ is width and $h$ is height (or depth in this case). Given $l = 3$ feet, $w = 2$ feet, $V=12$ cubic - feet and depth $d$ (height), we substitute into the formula: $12=3\times2\times d$.

Step2: Solve for $d$

First, simplify the left - hand side of the equation $3\times2\times d = 12$. We know that $3\times2 = 6$, so the equation becomes $6d = 12$. Then divide both sides of the equation by 6: $d=\frac{12}{6}=2$.

Answer:

The equation is $3\cdot2\cdot d = 12$. The depth of the chest is 2 feet.