Question

help?!? Given a cube with a volume of 18 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube? (will give medal)

Answer 1

3cm

6cm

9cm

12cm

Answer 2

Hint: Find the side length of the cube, then you will be able to find out the height of the cube and the rest is just plugging in numbers.

Answer 3

how to find the side length?

Answer 4

@luka1998 Remember the volume of a cube is s^3. By cube rooting the volume, you get the side length s.

Answer 5

@croslali can you help

Answer 6

i cant seem to get your question .. in the question it asks for volume but your options are in metres .. not cubic metres...
are you asking me find the height or some thing else?

Answer 7

i have to find the volume of a square pyramid that can fit perfectly inside the cube

Answer 8

hmmm.. wait a moment

Answer 9

@croslali I do think there is a typo in the question - the units do not match up. Didn't notice it before.

Answer 10

simple!

Answer 11

your answer is 6cm^3

Answer 12

you want proof?

Answer 13

yes plz

Answer 14

http://0.tqn.com/d/math/1/0/H/F/sbpyramidr.gif

Answer 15

can you see the formula in the bottom?
well
ok see the side of the cube you gave me is cube root of 18 ok??

Answer 16

\[\sqrt[3]{18}=\]

Answer 17

side of cube

Answer 18

now the max h of the pyramid= side of cube ie cube root 18 ....

Answer 19

now acc to formula when we substitute we get
(1/3)*cube root 18*cube root 18*cube root18
ie =>(1/3)18 =6

Answer 20

just take time to read and analyse each step carefully .. you will eventually get it .. i am sorry for the other day i was incredibly tired

Answer 21

thx u both