6. A rank in the shape of a rectangular prism has a length of 22 inches, a width of 12 inches, and a height of 15 inches. If the tank is filled halfway with water, how much water is in the tank?

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UpStudy AI · Accepted Answer

The full volume of the rectangular prism is calculated by

$$
V = \text{length} \times \text{width} \times \text{height} = 22 \times 12 \times 15.
$$

First, compute $$22 \times 12$$:

$$
22 \times 12 = 264.
$$

Then, multiply by the height:

$$
264 \times 15 = 3960 \text{ cubic inches}.
$$

Since the tank is filled halfway, the volume of water is half of the full volume:

$$
\text{Volume of water} = \frac{1}{2} \times 3960 = 1980 \text{ cubic inches}.
$$
The tank contains 1,980 cubic inches of water.

A rank in the shape of a rectangular prism has a
length of 22 inches, a width of 12 inches, and a
height of 15 inches. If the tank is filled halfway
with water, how much water is in the tank?

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