Answer:
5in by 5in by 5in
Step-by-step explanation:
We are not told wat to find but we can as well find the dimension of the prism that will minimize its surface area.
Given
Volume = 125in³
Formula
V = w²h ..... 1
S = 2w²+4wh ..... 2
w is the side length of the square base
h is the height of the prism
125 = w²h
h = 125/w² ..... 3
Substitute eqn 3 into 2 as shown
S = 2w²+4wh
S = 2w²+4w(125/w²)
S = 2w²+500/w
To minimize the surface area, dS/dw = 0
dS/dw =4w-500/w²
0= 4w-500/w²
Multiply through by w²
0 = 4w³-500
-4w³ = -500
w³ = 500/4
w³ =125
w = cuberoot(125)
w = 5in
Get the height
125 =w²h
125 = 25h
h = 125/25
h = 5in
Hence the dimension of the prism is 5in by 5in by 5in
Answer:
3
Step-by-step explanation:
Solve the equation for x by finding a
, b
, and c of the quadratic then applying the quadratic formula.
The Slope of this problem = 7/3
Answer: Formula one= P = 2 ( l+width) units where
“l” is the length of the rectangle
“b” is the width of the rectangle
Formula 2 = P = 2(l) + 2(w)
Step-by-step explanation:
At 0 hours: 24 boxes
After 1 hour: 24/2 = 12 boxes
After 2 hours: 12/2 = 6 boxes
After 3 hours: 6/2 = 3 boxes
She will have 3 boxes after 3 hours.
Hope this helps :)
