Answer:
b. 42.875 units³
Step-by-step explanation:
The volume of a cuboid is the product of its edge dimensions (length×width×height):
(3.5 units)(3.5 units)(3.5 units) = 3.5³ units³ = 42.875 units³
<span>Test if 8 is divisible by all possible numbers. Start by testing the smallest number possible (1) and making your way up to the largest number possible (7).
8/1= 8
8/2=4
8/3= not a whole number
8/4 = 2
8/5 = not a whole number
8/6 = not a whole number
8/7 = not a whole number
note we did not try 8/8 because that would not be considered "taking apart".
After sorting out our test answers we can conclude that you can take 8 apart in three ways. In 8 groups of 1, in 2 groups of 4, and in 4 groups of 2. You can show this in pictures by illustrating these groups. See Below
x x x x x x x x
xx xx xx xx
xxxx xxxx</span>
The height of the tank must be at least 1 foot, or 12 inches. We know the floor area (which is length x width) must be at least 400 inches. Therefore these minimum dimensions already tell us that the minimum volume is 400 x 12 = 4800 cubic inches. Since we have a maximum of 5000 cubic inches, the volume must be within the range of 4800 - 5000 cubic inches.
We can set the height at exactly 1 ft (or 12 inches). Then we can select length and width that multiply to 400 square inches, for example, L = 40 inches and W = 10 in. This gives us a tank of dimensions 40 x 10 x 12 = 4800 cubic inches, which fits all the criteria.
