Surface area of box=1200 cm²
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
= the square base, and 4sh = the four 'walls' of the box. </span>
<span>1200 = s² + 4sh </span>
<span>1200 - s² = 4sh </span>
<span>(1200 - s²)/(4s) = h </span>
<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>
by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
<span>v"(-20) = 30 </span>
<span>v"(20) = -(3/2)(20) </span>
<span>v"(20) = -30 </span>
<span>v(s) = 300s - (1/4)s^3 </span>
<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000
v=4000</span>
25 minutes
3 blocks x 5 = 15 blocks
Therefore,
5 minutes x 5 = 25 minutes
Answer:
A fraction is in simplest form if the top and bottom have no common factors other than 1. In other words, you cannot divide the top and bottom any further and have them still be whole numbers.
15X=12X+12
Subtract 12X
3X=12
X=4
Answer:
y divided by 6 1/4 = 11 3/4
Step-by-step explanation:
First, change the mixed numbers into improper fractions:
y divided by 25/4 = 47/4
Next, multiply both sides by 25/4:
y divided by 25/4 x 25/4 = 47/4 x 25/4
The 25/4's on the left side of the equation cancel each other out, leaving you with:
y = 47/4 x 25/4
Multiply 47 x 25 and keep the same denominator:
y = 1,175/4
Divide and:
y = 293 3/4
