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the ratio of the length to the width to the height is 10:5:8. the height of the tank is 18 feet longer than the width. what is the volume of the tank?

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Answer:

86,400 ft³

Explanation:

Given dimension ratios 10:5:8 = length : width : height, and the height being 18 ft longer than the width, you want to know the volume of the cuboid tank.

Volume

The volume is the product of the length, width, and height. In "cubic ratio units", it is 10·5·8 = 400 cubic ratio units.

Ratio unit

The difference between height and width is 8-5 = 3 ratio units, which represents 18 ft. That is, each ratio unit is 6 ft. This means the tank volume is ...

400 × (6 ft)³ = 86,400 ft³

The volume of the tank is 86,400 cubic feet.

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Additional comment

The dimensions of the tank are 60 ft by 30 ft by 48 ft.

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