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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

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lublana

Answer:

91.204 cubic feet

Step-by-step 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=[tex]\frac{1}{3}a^2h[/tex]

Where a= Side of base

h=Height of pyramid

Using the formula

Volume of Danny's pyramid=[tex]\frac{1}{3}\times(755/100)^2(480/100)ft^3[/tex]

Volume of Danny's pyramid=91.204 cubic feet

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