Question

HELP ME 20 POINTS!!!Assume that the average volume of an adult human body is one-tenth

cubic meter (0.10 m) and that there are two billion (2.0 x 109)
adults in the world.
a. What would be the total volume of all the adults in the world?
b. Compute the length of one edge of a cubic container that has a
volume equal to the volume of all the adults in the world.

Answer 1

Step-by-step explanation:

a) To find the total volume of all adults, you can multiply the average volume per adult by the number of adults:

Total volume = Average volume per adult × Number of adults

Total volume = 0.1 m³/adult × 2.0 x 10⁹ adults

Now, perform the calculation:

Total volume = 2.0 x 10⁹ × 0.1 m³

Total volume = 2.0 x 10⁸ m³

So, the total volume of all the adults in the world is 200,000,000 cubic meter

b) To find the length of one edge of a cubic container with a volume equal to the total volume of all adults, you can use the formula for the volume of a cube:

Volume of a cube = (Edge length)³

We already know that the total volume is 2.0 x 10⁸ m³. So:

2.0 x 10⁸ m³ = (Edge length)³

To find the edge length, take the cube root of both sides:

Edge length = (2.0 x 10⁸ m³)^(1/3)

Now, calculate the edge length:

Edge length ≈ 599.08 meters

Answer 2

a). (2.0 x 10^9) x (0.1) = 2.0 x 10^8 cubic meters

b). The edge of a cube with that volume is

(2.0 x 10^8) ^ 1/3 = about 585 metres

(about 0.36 of a mile)

==> I'm pretty sure there are actually more than 2 billion adults in the world, since the total population is well over 7 billion now.