Question

A water tank is built in the form of a right rectangular prism, with dimensions that measure 12.9 ft by 5.5 ft by 4.7 ft. if the tank contains 210 cubic feet of water, what percent is full? round your answer to the nearest whole number if necessary.

Answer 1

To find the percent that the water tank is full, calculate the volume of the tank and then calculate what percentage 210 cubic feet is of that volume. The tank is approximately 61% full.

Step-by-step explanation:

To find the percent that the water tank is full, we need to calculate the volume of the tank and then calculate what percentage 210 cubic feet is of that volume.

First, let's find the volume of the tank. The volume of a right rectangular prism is given by the formula V = l x w x h, where l is the length, w is the width, and h is the height of the prism.

Using the given dimensions, we have l = 12.9 ft, w = 5.5 ft, and h = 4.7 ft. Substituting these values into the formula, we get V = 12.9 ft x 5.5 ft x 4.7 ft = 346.665 ft³.

Now, to find the percentage that 210 cubic feet is of the tank's volume, we divide 210 ft³ by 346.665 ft³ and then multiply by 100. This gives us (210 ft³ / 346.665 ft³) x 100 = 60.62%.

Therefore, the tank is approximately 61% full.