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:x = -12
Step-by-step explanation:<!>BRAINLIEST APPERICATED<!>
2*2-1/3 yards= 4-2/ yards =14 feet.
THE SHADOW IS HALF THE HEIGHT OF OBJECT, SINCE A 6 FEET BOY CASTS A 3 FEET . SO THE POLE WILL BE TWICE THE LENGTH OF ITS SHADOW. try this
Answer: 211 miles
Step-by-step explanation: An equation for this could be:
base fee + additional charge (miles driven) = total charge
19.99 + 0.86(x) = 201.45
0.86(x) = 201.45 - 19.99
0.86(x) = 181.46
x = 
= <em>211 miles</em>
$420 for 15 tickets
Divide both numbers by 15
$28 for 1 ticket
