Answer:
2
Step-by-step explanation:
![\sqrt[3]{54} - \sqrt[3]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B54%7D%20-%20%5Csqrt%5B3%5D%7B2%7D)
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Prime factorization.
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Simplify the radical.
2
Subtract.
The volume for a cube is the cube of any side. side^3
If each sides measures 1 foot, the volume would be 1 ft^3.
Th long side of the plastic sheet is bent into a U shape.
Therefore the dimensions of the file holder are 8, h, and (10 - 2h) as shown in the figure.
The volume of the file holder is
V = 8*h*(10 - 2h) = 80h - 16h²
To maximize V, V'(h) = 0.
That is,
80 - 32 h = 0
h = 80/32 = 2.5 in
V''(h) = -32 guarantees that V is maximum because V'' <0.
Maximum V = 80*(2.5) - 16*(2.5)² = 100 in³
Answer: h = 2.5 in
The answer is C 8/2=4 and 74/2=37