Question

Two similar solids are shown below.

Two similar solids are shown. The length of the smaller solid is 3 feet and its volume is 675 cubic feet. The length of the bigger solid is 5 feet. Its volume is not known.

What is the volume of the larger solid?

5400 ft3

7400 ft3

8200 ft3

6200 ft3

Answer 1

Volume is proportional to cube of side.
\(V\quad \alpha \quad s^3\)
so,
\(\dfrac{V_2}{V_1}=\dfrac{s_2^3}{s_1^3}\)
got this ?

Answer 2

I'm gonna be honest...not really..

Answer 3

side = length

Answer 4

ok,
lets look at it another way,
length of smaller solid is how many times length of larger solid ?

Answer 5

would i divide 675 by 3.?

Answer 6

i am not talking about volume at all :P
what will you multiply to length of smaller solid to get length of bigger solid ?

Answer 7

5400

Answer 8

got it???

Answer 9

or, i am asking ratio of lengths of bigger solid to smaller solid

Answer 10

okay so the ration would be 3:5.?

Answer 11

*ratio srry

Answer 12

3:5 is smaller / larger, right ?
i asked larger/ smaller

Answer 13

5:3 :)

Answer 14

@irishchelsc
listen in diagram side length is 6 not 5

Answer 15

yes,
so length of larger solid is 5/3 times length of smaller solid.
since, volume is proportional to cube of side,

volume of larger solid will be (5/3)^3 times volume of smaller solid.
read this carefully.

oh larger side is 6 ??

Answer 16

oh my lord. i am so sorry

Answer 17

@irishchelsc
3/6*3/6*3/6=675/v
1/8=675/v
v =675*8=5400 correct

Answer 18

no problem,
5/3 just changes to 6/3
nothing else!

Answer 19

yes,
so length of larger solid is 6/3=2 times length of smaller solid.
since, volume is proportional to cube of side,

volume of larger solid will be (6/3)^3 = 2^3 = 8 times volume of smaller solid.
read this carefully.

Answer 20

so multiply it by 8.?

Answer 21

i mean the volume is 8 times larger.?

Answer 22

@gorv why are you in a hurry to give the final answer ? let the asker get it on her own.
yes, multiply volume of smaller solid by 8.

Answer 23

yes, the volume is 8 times larger.

Answer 24

ok tutorrrrrr

Answer 25

okay. i just want to know how to work to the answer.
then set up a proportion using the 8 and the 675.?

Answer 26

the volume is 8 times larger. ---> volume of larger solid = 8* volume of smaller solid = 8* 675 =...
got this ?

Answer 27

yes!

Answer 28

5400!!

Answer 29

yes :)

Answer 30

eureka!!!

Answer 31

@hartnn mr. tutor similar means ratio of correponding sides willbe equal
l1/l2=h1/h2=b1/b2

Answer 32

teach properly

Answer 33

jst dont puke

Answer 34

@hartnn

Answer 35

i am confused, what you said is correct, but when did i say something incorrect ?