Answer:
Solution given:
4
8
8 9 0
× <u> 5 9 0</u>
<u> </u> 0 0 0
<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>+</u><u>8 0 1 0 </u><u>x</u>
8 0 1 0 0
<u> +4 4 5 0 x </u><u>x</u>
5 2 5 1 0 0
<u>5</u><u>2</u><u>,</u><u>1</u><u>0</u><u>0</u><u> </u><u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u><u>.</u><u />
Ratio = 1/25
Let, the distance b/w cities on map = x
It would be: 1/25 = x/175
x = 175/25
x = 7
In short, Your Answer would be 7 in
Hope this helps!
V = Length x Width x Height = 288
If we call the width w
then length = 3w
And height = 288/(3w x w)
Assuming none of the material used overlaps the box will need 6 faces ( top, bottom, 2 ends and 2 sides)
Area of material = 2 x LW + 2 x HW + 2 x HL
= 2(3w x w + 288/(3w x w) x w + 288/(3w x w) x 3w)
= 2(3w^2 + 288/3w + 288/w)
= 2(3w^2 + 96/w + 288/w)
= 2(3w^2 + 384/w)
= 6w^2 + 768/w
Taking the derivative in terms of w
A’ = 12w - 768/w^2
A’ is zero when 12w = 768/w^2
w^3 = 768/12 = 64
w = cube root of 64 = 4
This makes the box with the minimum materials 12 x 4 x 6
So the length that uses the minimum material is 12 inches
Answer:do you want us to include a picture?
Step-by-step explanation: