Question

can someone help me?

Answer 1

911

Answer 2

A square pyramid of height 8 inches has a volume of 704 cubic inches. If the volume of a similar square pyramid is 88 cubic inches, what is its height?

Answer 3

1 inch

8 inches

2 inches

4 inches

Answer 4

well look at the ratios of the volumes

88:704 is 1 :8

take the cube root of both sides of the ratio to find the linear ratios

when you know the linear measurement ratio apply it to a height of 8 inches to find the height of the smaller solid

Answer 5

is it 1 or 8??

Answer 6

well the ratio of volumes

small:large
88 : 704
or 1 : 8

there is a bit of math about ratios , linear measurements, areas and volume

that says for linear to area square the ratios

for linear to volume cube the ratios..

you need to work backwards... you know the ratio of the volumes

so take the cube root of each value in the volume ratio to find the linear ratios

Answer 7

so what do you think the linear ratios would be..?

Answer 8

you need to solve

\[\sqrt[3]{1}:\sqrt[3]{8}\]

to find the linear ratio...

Answer 9

i have no idea how to do that?

Answer 10

ok... well the cube root of 1 is 1

because 1 x 1 x 1 = 1

what number multiplied by itself 3 times will give 8

Answer 11

okayyy & uhhh 2?

Answer 12

thats correct... so now you know the ratio of the linear measurements

small : large

ratio 1 : 2

measurement x : 8

so what would use say x is equal to..?

Answer 13

2??

Answer 14

wait no 4??

Answer 15

wait no 4??

Answer 16

ahhh lol

Answer 17

thats correct... so that is the height of the smaller prism..

so by looking at the volumes you were able to find the linear ratios... and then apply them to the linear measurements

Answer 18

4 is correct??

Answer 19

yep... thats my opinion of the correct answer

Answer 20

okayy thank you(: you should be a teacher lol

Answer 21

lol... I'm an 8th grader

Answer 22

lol a freaking smart one!!

Answer 23

but I'm on an accelerated program

Answer 24

thats good lol (:

Answer 25

have fun... and math is just about patterns

Answer 26

okay thanks you helped good^.^