Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

an aquarium is to be drained. the aquarium is shaped like a rectangular…

Question

an aquarium is to be drained. the aquarium is shaped like a rectangular prism with length 40 in, width 22 in, and height 16 in. suppose water is purged out of the aquarium at a rate of 704 in³ per minute. if the aquarium starts completely full, how many minutes does it take to empty the aquarium?
□ minutes

Explanation:

Step1: Calculate aquarium volume

$V = 40 \times 22 \times 16$
$V = 14080$ $\text{in}^3$

Step2: Compute time to empty tank

$t = \frac{V}{\text{drain rate}}$
$t = \frac{14080}{704}$

Answer:

20 minutes