Answer:
Volume = 6783.27inch³
H = 6.951inch
L = 51.098inch
W = 19.098inch
Step-by-step explanation:
From the given information:
Let h = side length and height of the box
L = length of the box
W = width of the box
V = volume of the box
We have that:
L = 65-2h
W = 33-2h
V = L×W×h
Therefore we have
V = (65-2h)(33-2h)×h
V = (2145-130h-66h+4h²)×h
V = 2145h-196h²+4h³
By differentiating V w.r.t h, we have
V' = 2145-392h+12h²
V = 12h²-392h+2145
Using Almighty formula we have
h = 392+/-√392²-4(12)(2145)/2(12)
h = 6.951 or 25.716
Thus, we find L,W and V.
We use the least value of h in order not to get a negative value of volume, length and width
L = 65-2h = 65-2(6.951) = 51.098
W = 33-2h = 33-2(6.951) = 19.098
V = LWH = 51.098×19.098×6.951 = 6783.2696inches
Initial number that is given in the question = 280
Final number that is given in the question = 289
Total amount of increase in the number = 289 - 280
= 9
Then
Percentage of increase in the given number = (9/280) * 100
= 90/28
= 45/14
= 3.21 percent
So the percentage increase in the number is 3.21%. <span>I hope
the procedure is clear enough for you to understand. This will help you to
solve similar problems with ease in future.</span>
Answer:
Step-by-step explanation:
I need help too
The dimensions of the builders scale drawing is 40 x 32 inches
<u>Step-by-step explanation:</u>
Let the area of the actual crate be 'a'
Scale factor of Karl = 1:12
Dimensions = 10 x 8 inches
Area = 80 square inches
1:12 = 1/12
1/12 = 80/a
a = 80 x 12
a = 960 square inches
So dimensions are 120 x 96 inches
Builders scale factor = 1:3
Actual Length = 120inches
Actual width = 96 inches
Builders drawing length = 120/3
= 40 inches
Builders drawing width = 96/3
= 32 inches
The dimensions of the builders scale drawing is 40 x 32 inches.