Question

a water tank is built in the form of a right rectangular prism and it can hold 858 cubic feet of water when it is full. its width is 8.3 ft and its height is 6.5 ft. find the length of the water tank in feet. round your answer to the nearest tenth if necessary. answer attempt 1 out of 2

Explanation:

Step1: Recall volume formula of prism

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

Step2: Rearrange for length

Isolate $l$: $l = \frac{V}{w \times h}$

Step3: Substitute given values

Substitute $V=858$, $w=8.3$, $h=6.5$:
$l = \frac{858}{8.3 \times 6.5}$

Step4: Calculate denominator first

$8.3 \times 6.5 = 53.95$

Step5: Compute final length

$l = \frac{858}{53.95} \approx 15.9$

Answer:

15.9 feet