lizzie3545
05.06.2020 •
Mathematics
Two rectangular pyramids are similar. The smaller pyramid has a volume of 12 cubic feet, and
the larger pyramid has a volume of 324 cubic feet. If the smaller pyramid has a height of 6 feet,
what is the exact height (in feet) of the larger pyramid?
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Ответ:
Volume of Big Pyramid= 324 cubic feet
Volume of small pyramid= 12
Volume of a pyramid is given as V=⅓xBasexheight
For the big pyramid
324=⅓xbasexheight
But 324= 27x12
Then for the big pyramid,
12=1/3x1/27xbasexheight
For the small pyramid
12=1/3xbasex6
Since both base are similar and from the equations derived so far
1/3x1/27xheight=1/3x6
Height=27x3x1/3x6=162feet
Ответ:
grffhetdez
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