Question

A concrete column in a parkade is cylindrical. The column is 10m high and has diameter 3.5 m.

The volume of the concrete (rounded) is 96 m3 so what if the concrete is made into a cube. What would the dimensions be. Please show your work.

Answer 1

what aren't you getting, or where is your qustion at?

Answer 2

My question is that the volume of the concrete is 96 m3 and I want to know that if the concrete were made into a cube what would the dimensions be?

Answer 3

right right,
so you are stuck with turing the 96m^3 into a volume of a cube?

Answer 4

yes.

Answer 5

got it,
so a cube has all sides equal, so the length, width and height are all the same distance

Answer 6

yes.

Answer 7

so the equation for a cube can be written like this:
Cube Volume = L*W*H
or it can be written like this too
cube volume = Side*side*side
or
=side^3

Answer 8

but i need to know the dimensions

Answer 9

not the volume (my mistake)

Answer 10

right right, i'm with you.
this is the process that we are going though
volume of cylinder 96m^3 -> volume of a cube -> dimensions of a cube
make sense?

Answer 11

ohh ok :D

Answer 12

but how are we gonna turn the volume of the concrete into the volume of a cube?

Answer 13

good question
so we know the cube needs to be the same volume as the cyliner, so we can write:
volume cylinder = volume cube

Answer 14

oh ok so does that mean that the volume that has been given to us is the same volume for the cube?

Answer 15

bingo!

Answer 16

oh ok :D but how are we gonna turn that volume into the dimensions of the cube?

Answer 17

remember when we talked about how
volume of a cube = length * width * height?

Answer 18

yes.

Answer 19

are remember how I said, all the sides of a cube are equal,
so pretened I had a cube that had one side length equal to 8,
then the width would also equal 8,
and the height would also equal 8
make sense?

Answer 20

yes.

Answer 21

great! we are on the last step then
so if
volume of a cylinder = volume of a cube
then
volume of a cylinder = 96m^3
so
96m^3 = volume of a cube

Answer 22

and remember all sides of the cube are the same, so..
96m^3 = side*side*side
so we need to do the math and figure out what what number is timesd by it's self 3 times that equals 96