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An artist wants to make alabaster pyramids using a block of alabaster with a volume of 576 cubic inches. She plans to make each pyramid with a square base area of 3 square inches and a height of 4 inches. At most, how many pyramids can the artist make from the block of alabaster?

Sagot :

Apologiabiologyidn
pyramid
volume=base area times height times 1/3
or
length times widht times height times 1/3
base area=3
3 times height iems 1/3
height=4
3 times 3 times 1/3=4 times 1/3 times 3=4 times 1
each pyramide=4 in volume
so
x pyramids =alabaster volume
divide by pyramids
x=alabaster/pyrimds
alabaster=576
pyramids=4
divide
576/4=144
the artis can make 144 pyramids
Abidemiokinidn

The artist can make 48 pyramids from the block of alabaster

Volume of a pyramid

The formula for calculating the volume of pyramid is expressed as:

V = 1/3BH

Given the following parameters

Base area. = 3 * 3 = 9 square in

Height = 4in

Substitute

V = 9*4/3

V = 12 cubic inches

Number of pyramid = 576/12

Number of pyramid = 48

Hence  the artist can make 48 pyramids from the block of alabaster

Learn more on volume of pyramid here: https://brainly.com/question/218706

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