Question

WILL FAN AND MEDAL

Given a cube with a volume of 36 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube?

Answer 1

This confuses me because I dont know if I should use the formula for a square or a pyramid or cube

Answer 2

@mathstudent55 Can you please help me?

Answer 3

@welshfella

Answer 4

compare the formulae for the volume of the cube and the volume of a pyramid

Answer 5

Hmm ok

Answer 6

I got 12 cm

Answer 7

Hint write the volume of a cube as s^2 * h where s= length of 1 side = h

Answer 8

I'd suggest you sketch a cube and a pyramid separately, and then draw the pyramid inside the cube.

If the volume of the cube is 36 cm^3, what is the length of one side of the cube?
What is the height of the pyramid?
What is the area of the base of the pyramid?

Answer 9

in the case of a cube the length of ecah side is equal to its height

Answer 10

Ohhh so would 12 cm be it then?

Answer 11

yes
because Area cube = s^2 h and area of pyramis = 1/3 s^2 h

Answer 12

And what does the s stand for?

Answer 13

the side of cube which will equal the side of the pyramid's base

Answer 14

ohhh okay

Answer 15

I have another question that I need help on

Answer 16

- becaus eit fits exactly into the cube.

Answer 17

plz post it separately

Answer 18

Yeah I'm going to, that way I can give you another medal

Answer 19

ok

Answer 20

welshfella: "because Area cube = s^2 h" Please think about this and make the necessary correction. How would you describe a "cube"?

Answer 21

yes I should have said volume