Question

Danny is building a pyramid modeled after one of the great pyramids of Giza in Egypt .The great pyramid has a height of 480 feet and a square base with each side measuring 755 feet if Danny builds the pyramid to one hundredths (1/100) the size what will the volume be for his pyramid

Answer 1

91.204 cubic feet

Explanation:

We are given that

Height of great pyramid, h=480feet

Side of square base, a=755 feet

Height of Danny's pyramid, h'=480/100 feet

Side of square base of Danny's pyramid, a'=755/100 feet

We have to find the volume of Danny's pyramid if the volume of Danny's pyramid is 1/100 the size of great pyramid.

We know that

Volume of square base pyramid, V=
`(1)/(3)a^2h`

Where a= Side of base

h=Height of pyramid

Using the formula

Volume of Danny's pyramid=
`(1)/(3)*(755/100)^2(480/100)ft^3`

Volume of Danny's pyramid=91.204 cubic feet