Answer:
11,664 in³
Step-by-step explanation:
For a square side length of x, the girth is 4x and the length of the parcel is then allowed to be up to 108-4x.
The total volume is the product of the edge lengths, so is ...
V = (108 -4x)(x²) = -4x³ +108x²
This will be a maximum where its derivative is zero:
dV/dx = -12x² +216x = 0 = -12x(x -18)
This is zero for x=0 and for x=18.
The maximum volume parcel is 18 in by 18 in by 36 in, and has a volume of ...
(18 in)(18 in)(36 in) = 11,664 in³
Answer: 7
3
=
7
2
Step-by-step explanation: Mark me brain and 5 stars and a thank you
Let the required number be x, then to create a proportion using the form
Thus, let 15 be
of x, then
Therefore, 15 is <span>
of</span> 1,000
Answer:
The surface area would be ten. Just remove the topmost cubes.
Step-by-step explanation:
Answer:
Step-by-step explanation:
In this geometry, the triangles are similar. That means corresponding sides are proportional:
short side/long side = x/10 = 10/25
x = 100/25 = 4 . . . . multiply by 10
__
hypotenuse/short side = y/x = (x+25)/y
y² = 4(29) = 116 . . . . . use 4 for x; cross multiply
y = √116 ≈ 10.8
