Question

a water tank is built in the form of a right rectangular prism, with dimensions that measure 12.9 ft by 8.6 ft by 8.4 ft. how many cubic feet of water would it hold when it is full? round your answer to the nearest tenth if necessary.

Explanation:

Step1: Recall volume formula

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

Step2: Substitute the given values

Let $l = 12.9$ ft, $w = 8.6$ ft and $h = 8.4$ ft. Then $V=12.9\times8.6\times8.4$.
First, calculate $12.9\times8.6 = 110.94$.
Then, $V = 110.94\times8.4=931.896$.

Step3: Round the result

Rounding $931.896$ to the nearest tenth gives $931.9$.

Answer:

$931.9$ ft³