Question

when javiers mom started her new job, javier bought her a lunch box as a surprise gift. it is shaped like a rectangular prism and has a volume of 551.25 cubic inches. the lunch box is 7.5 inches deep and 10.5 inches wide. which equation can you use to find how tall the lunch box is, h? 7.5·10.5·h = 551.25 7.5·10.5·551.25 = h how tall is the lunch box? \boxed{} inches

Explanation:

Step1: Recall rectangular prism volume formula

The volume $V$ of a rectangular prism is $V = l \times w \times h$, where $l$ is length (depth here), $w$ is width, $h$ is height.

Step2: Match given values to formula

Substitute $V=551.25$, $l=7.5$, $w=10.5$:
$7.5 \times 10.5 \times h = 551.25$

Step3: Calculate product of known dimensions

$7.5 \times 10.5 = 78.75$

Step4: Solve for $h$

Rearrange to $h = \frac{551.25}{78.75}$
$h = 7$

Answer:

Correct equation: $7.5 \cdot 10.5 \cdot h = 551.25$
Height of the lunch box: 7 inches