1) An ancient unit of length called the cubit was equal to six palms, where a palm was the width of the four fingers of an open hand. Noah's ark was 300 cubits long, 50 cubits wide, and 30 cubits high. Estimate the volume of the ark in cubic meters. Also estimate the volume of a typical home in cubic meters, and compare it with the volume of the ark.
Vark = 10 _____ m3
Vhome = 10 ____ m3

for this question i did 300 times 50 times 30 and got the Vark. But how do i get the Vhome?

6Palms = 1 cubit

Volume of ark in terms of cubits = 300*50*30 cubits ^3
= 450000 cubits ^3

Also 1 cubits = 0.4572 meters

Multiply this with 450000
= 205740 m^3 Answer

2) Suppose your hair grows at the rate of 1/34 inch per day. Find the rate at which it grows in nanometers per second. Since the distance between atoms in a molecule is on the order of 0.1 nm, your answer suggests how rapidly atoms are assembled in this protein synthesis.
___m/s

We know that 1 inches = 0.0254 meters

Growth of hair = 1/34 inch
= .0254/34 meters / day
= converting days in seconds
= 8.64 nanometer /s

Answer

Can you do second part now?

3) One cubic centimeter (1.0 cm3) of water has a mass of 1.0 10-3 kg.
(a) Determine the mass of 1.0 m3 of water in kg.

1m^3 = 100 * 100 * 100 cm^3
Now put the value of mass of 1cm^3 and multiply to get the answer

(b) Assuming biological substances are 98% water, estimate the masses of a cell with a diameter of 1.1 µm, a human kidney, and a fly. Take a kidney to be roughly a sphere with a radius of 4.2 cm and a fly to be roughly a cylinder 3.3 mm long and 1.0 mm in diameter.
a cell kg
a human kidney kg
a fly kg