222k views
2 votes
A new pyramid has been found in South America. The pyramid has a rectangular base that measures by 120 yd, and has a height of 70 yd. The pyramid is not hollow like the Egyptian pyramids and is composed of layer after layer of cut stone. The stone weighs 480 lb per cubic yard. How many pounds does the pyramid weigh?

1 Answer

4 votes

Answer:

67,200,000 pounds

Explanation:

Base dimension is incomplete , lets assume it to be 50yd by 120yd

so, The pyramid has a rectangular base that measures 50 yd by 120 yd

In order to find weigh, first lets find out the volume of pyramid

the volume of a pyramid is determined by

V = 1/3 Bh

where B is the area of the base.

V = 1/3(120)(50)(70) =

V=140000 cubic yards

next is to determine weight

As you know, D = M/V is given as 480 lbs/cubic yard

so the weight (mass) is

:

W = VD = 140000 x 480 = 67,200,000 pounds

Thus, the pyramid weigh 67,200,000 pounds

User Ian Overton
by
4.6k points