Answer:
- 48.02 cubic feet
- 3193.33 lb
Explanation:
Various relations are given between the dimensions of the tank. These can be used to find the actual dimensions. The volume can then be found using the volume formula for a rectangular prism.
The weight is the product of the number of cubic feet and the weight per cubic foot.
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width = (5/7)length . . . . relation between width and length
(7/5)width = length = (7/5)(3.5 ft) = 4.9 ft
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height = (4/5)width . . . . relation between height and width
height = (4/5)(3.5 ft) = 2.8 ft
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The volume can now be found:
V = LWH
V = (4.9 ft)(3.5 ft)(2.8 ft) = 48.02 ft³
The tank can store 48.02 cubic feet of milk.
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The weight will be ...
(48.02 ft³) × (66.5 lb/ft³) = 3193.33 lb
The tank holds approximately 3193.33 pounds of milk.