Answer:
Below in bold.
Step-by-step explanation:
The surface area of the box
= x^2 + 4hx where x = a side of the square base and h is the height.
So x^2 + 4hx = 8
The volume of the box
V = x^2h
From the first equation we solve for h
4hx = 8 - x^2
h = (8 - x^2) / 4x
Now we substitute for h in the formula for the volume:
V = x^2 * (8 - x^2) / 4x
V = 8x^2 - x^4 / 4x
V = 2x - 0.25x^3
Finding the derivative:
V' = 2 - 0.75x^2 = 0 for max/mimn values
x^2 = 2/ 0.75 = 2.667
x = 1.633.
So the length and width of the base is 1.633 m and the height
= ( 8 - 2.667) / (4*1.633)
= 0.816 m
The maximum volume = 0.816 * 2.667 = 2.177 m^2.
The answers are correct to the nearest thousandth.
Answer: 11/30
Step-by-step explanation:
11 girls out of 30 kids. 11/30 cannot be simplified.
Answer:
2(b+1+b)= 18
Step-by-step explanation:
Perimeter of a rectangle= 2(l+b)
18 feet= 2(l+b)
length: l, breadth: b
Because the length of the sandbox is 1 foot longer, it will be:
b+1 = l
Substitute l with b+1
2(b+1+b)= 18
24.51 just add all the prices together and subtract from 30! i hope this helps
Answer:
Step-by-step explanation:
a.) 13/3 *6
= 78/3
=26
b.) 13/5 * 10/3
= 130 / 15
= 26/3