Question

What is the maximum number of rectangular blocks
measuring 3 inches by 2 inches by 1 inch that can be
packed into a cube-shaped box whose interior measures
6 inches on an edge?
(A) 24
(B) 28
(C) 30
(D) 36
(E) 40

Answer 1

The Answer is D... But how!?

Answer 2

Ok.. how would u approach this problem?

Answer 3

I have no clue... I was thinking multiplying the dimensions to find area of some sort...

Answer 4

im studying for my SAT, and I screwed.. SO many questions I dont know how to do..

Answer 5

if you have to calculate in general, how many small boxes can fit into a large box

which quantity you should calculate?

Answer 6

the number of small boxes divided in the big one

Answer 7

just have to use logic.. try to feel the problem..


"number of small boxes divided by the big one" ?? :P

try solving this
i have small cubes of sides 2cm

and i have ONE BIGGG cube of side 8cm. how many cubes can fit?..

Answer 8

4?

Answer 9

thats wrong.. i ll work you through this..

the big cube.. how much space is present in it?? what is the volume?

Answer 10

I don't know because you didn't tell me the other dimensions? Am I amusing they are all 8? So 8x8x8?

Answer 11

yea.. duh.. its a CUBE .. cube has all sides equal :P
so you are right.. 8x8x8 = 512 cubic cm.. that much SPACE is alvailable

and similarly now u can calculate how much space the smaller cube acquires

once you know these volumes.. THEn u can divide.. cause as u fill the larger cube with smaller cubes, the space gets filled up

Answer 12

OHH I answer my question... Lmao Im so dumb.. Thanks!

Answer 13

glad to have helped ;-)