Homework Help?

Question

A box measures 9cm by 7 cm by 8 cm. 7 2-cm cubes are put into the box. How many more 2-cm cubes can be packed into the box? The answer is 41 cubes. Why is that so? Can someone help by showing me the steps? Pls do not use algebra. thks

Answer 1

OK algebra won't help, straight deduction then:
4 cubes will fit along the 9 cm edge.
3 cubes will fit along the 7 cm edge.
4 cubes will fit along the 8 cm edge.
So the total volume of cubes is the product.
4 x 3 x 4 = 48, you already have 7, so 41 more.

Answer 2

Wow. This is a trick question.

The big box is 9x7x8.
You have 2x2x2 cubes.

Normally, you would just figure out the big volume then figure out how many of the smaller volume stuff fits, like this

9x7x8= 504
2x2x2= 8

504 / 8 = 63 you said there were 7 in the box already, so:

63 - 7 = 56 but this is WRONG!

So, if you lay the 2x2x2 cubes in a straight line, the length is 2, then 4, then 6 then 8 then 10.

But the box is 9x7x8. The number 9 is between 8 and 10. since you can't cut the small cube in half, you have to change the way you calculate this volume.

Instead of 9x7x8, you need to reduce the volume to a multiple of 2 by reducing 9 to 8 and reducing 7 to 6, so:

use 8x6x8= 384
2x2x2=8

384 / 8 = 48 you said there were 7 in the box already, so:

48 - 7 = 41

Answer 3

Coz u can fit 3 cubes across the 7cm side, 4 (including one from the 7cm side) across the 9cm side, and 4 cubes up. So you have 48 cubes all together. Picture a 4x4 grid of cubes (16) and then 2 more grids like that behind it. You times 4x4x3. Hope that helps

Answer 4

go to www.homeworkhelp.com

Answer 5

its summer
why do you have homework