Question 60
There are two right pyramids with a soni The two pyramids are similar in shape. The height of the first pyramid is 30m and taiof the smaller is 22.5 m. 36 men take 32 days to build the first pyramid. How many dayswould 54 rs of the sameefficiency take to build the second phyramid?
Solution
Since, total work done $$\propto$$ Volume of pyramids $$\propto side^3$$
Total work done to built pyramids = Total men working * Days take
Let days taken by 54 men to build the second pyramid = N
Now,
$$\frac{36 * 32}{54 * N} = \frac{30^3}{22.5^3} = \frac{4^3}{3^3}$$
$$N = \frac{36 * 32 * 27}{64 * 54}$$
N = 9 days
