Answer:
H = 10.071
Step-by-step explanation:
7.851 + 2.22 = 10.071
Answer:
2.13 ft x 2.13 ft x 2.66 ft
Step-by-step explanation:
If W is the width of the square base, and H is the height, then:
12 = W²H
The cost of the crate is:
C = 8W² + 2W² + 4(4WH)
C = 10W² + 16WH
Solve for H in the first equation:
H = 12 / W²
Substitute into the second equation:
C = 10W² + 16W (12 / W²)
C = 10W² + 192 / W
Take the derivative with respect to W.
dC/dW = 20W − 192 / W²
Set to 0 and solve:
0 = 20W − 192 / W²
20W = 192 / W²
20W³ = 192
5W³ = 48
W = ∛(48/5)
W ≈ 2.13 ft
Find H:
H = 12 / W²
H ≈ 2.66 ft