Answer:
and 
Explanation:
Given

Represent the height as h, the length as l and the width as w.
From the question:


Volume of a box is calculated as:

This gives:


Substitute 9 for V

Make h the subject:

The surface area is calculated as:

Recall that: 




Recall that: 
So:





To minimize the surface area, we have to differentiate with respect to w

Set A' to 0

Add
to both sides

Multiply both sides by 


Make
the subject

Solve for w
![w = \sqrt[3]{\frac{27}{8}}](https://tex.z-dn.net/?f=w%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B27%7D%7B8%7D%7D)

Recall that :
and 









Hence, the dimension that minimizes the surface area is:
and 
Answer:
In summer the power available is 357.55 kW and in winter the power available is 59.59 kW
Explanation:
Given data:
height = 1500 ft = 457.2 m
30 gallon = 0.114 m³
5 gallon = 0.019 m³
In summer the power available is:

Where
μ = efficiency = 0.7
ρ = density of water = 1000 kg/m³
g = gravity = 9.8 m/s²
Q = 0.114 m³
Replacing:

In winter the power available is

Answer:
Product dissection has been widely deployed in engineering education as a means to aid in student's understanding of functional product elements, development of new concept ideas, and their preparation for industry.
Explanation:
I hope this helps :) have a wonderful day!
The question is incomplete. The complete question is :
The hydrofoil boat has an A-36 steel propeller shaft that is 100 ft long. It is connected to an in-line diesel engine that delivers a maximum power of 2590 hp and causes the shaft to rotate at 1700 rpm . If the outer diameter of the shaft is 8 in. and the wall thickness is
in.
A) Determine the maximum shear stress developed in the shaft.
= ?
B) Also, what is the "wind up," or angle of twist in the shaft at full power?
= ?
Solution :
Given :
Angular speed, ω = 1700 rpm


Power 
= 1424500 ft. lb/s
Torque, 

= 8001.27 lb.ft
A). Therefore, maximum shear stress is given by :
Applying the torsion formula


= 2.93 ksi
B). Angle of twist :


= 0.08002 rad
= 4.58°