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>
All of the statements except the first are true whether p ║ q or not.
The appropriate choice is ...
... ∠2 ≅ ∠6
_____
The "corresponding angles postulate" tells you that the lines are parallel if the corresponding angles are equal.
Answer:
4.82
Step-by-step explanation:
0.000082 + 0.0004 = 0.000482 = 4.82
3(x+5)=39
3x+15=39
3x=24
x=8
The volume of the roof is 10667 cube feet and the volume of the entire house, including the roof, is 58667 cube feet.
<h3>How to find the volume of the composite figures?</h3>
To find the volume of the composite figures, follow the steps listed below:,
- Separate the figure.
- Calculate the volume of each figure by which the composite figure is made of.
- Add the volume of all the individual figures to get the total volume of composite figures.
A pyramid-shaped hip roof is a good choice for a house in an area with many hurricanes. The volume of the roof is:

The volume of the room is:
V=length x width x height
V=40 x 40 x 30
V=48000 ft³
The volume of the entire house, including the roof, is,
V=10667+48000
V=58667 ft³
Thus, the volume of the roof is 10667 cube feet and the volume of the entire house, including the roof, is 58667 cube feet.
Learn more about the volume of composite figures here;
brainly.com/question/1205683
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