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:
Step-by-step explanation:
The first is 2, the second is 6 and the third is 14.
Answer:
25
Step-by-step explanation:
add the two sides which are 6 and 6, then find the circumference of one of the circles and thats it, the reason why you only need one is because both of those circles are halfs, so they make one circle up, so its 6+6, then the circumference is 12.5667 so its 12+12.5667 which is 24.5667 which rounds up to 25.
The answer is 27.1052631579 or 27.1 if you rounded "m" to .10
The answer is -2. The line is going from left to right which makes it negative. Then if you look at the line and do change in y(rise) over change in x(run).
