We hear a great deal about overpopulation, but if air and elbow room were not an issue, show that you could put the entire world
1 answer:
Answer: The below explanation shows that we could put the entire population on the given box.
Step-by-step explanation:
Here, it is given that on average, people can fit into a box that is 7' tall, 2' wide and 1' deep.
That is, the approximate volume of the box in which a person can be fit = 7 × 2 × 1 = 14 cube feet
But, the given population of the world = 7 000,000,000
Thus, the total approximate volume of the 7 billion people = 14 × 7 000,000,000 = 98,000,000,000 cube feet
Also, it is given that, the volume of the given box = 1 mile x 1 mile x 1 mile = cube feet = 147197952000 cube feet.
Since, we can say that the entire population of the world can put the box
If total volume of the box / total volume of the population 1
Here, 147197952000 / 98,000,000,000 = 1.5 > 1
Therefore, the entire population can be put in the box.
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1. Draw an accurate picture of the triangle in
the coordinate axes, as shown in the attached picture.<span>
<span>2. Circumscribe a rectangle about the triangle, as shown in
the picture. The coordinates of the points M, N, T are easily identifiable as shown in the
picture.</span>
<span>3. The area of the triangle ABC is The area of
the rectangle - Area 1- Area 2- Area 3.</span>
Area 1 = 1/2(3*7)=21/2
Area 2 = 1/2(4*4)=1/2*16=8
<span>Area 3 = 1/2( 3*7)=21/2</span>
<span>Area 1+Area 2+Area 3=21/2+21/2+8=21+8=29 (units squared)</span>
<span>Area rectangle= 7*7=49 (units squared)</span>
<span>Answer: Area of triangle is 20 units squared.</span></span>
