I'm stuck on this math problem, please help ASAP! I'm at a loss of time and the help is very much appreciated.

Question

How many 2 inch edge cubes can be stored in a rectangular box with inside dimensions of 2ftx2ftx1ft?

Answer 1

One way to simplify the math is to do this one dimension at at time. Using the notation above, with l=2 feet, w=2 feet, h=1 foot: 2 feet / 2 inches =1 foot × 12 inches per foot / inches = 12.

1 foot / 2 inches = (1/2) × foot × 12 inches per foot / inches = 6

12 × 12 × 6 = 864 cubes

Answer 2

When approaching a problem like this, the first step is determining the volume of the box you need to fill.

Volume of a rectangular box is: V = l * w * h ---> so V = 2ft * 2ft * 1ft = 4 ft³

(aka 24in * 24in * 12in = 6912 in³)

The next step is determining the volume of the cubes you'll use to fill your box:

Volume of a cube: V = s³ ---> V = (2 in)³ = 8 in³

Then your final step would be dividing the volume of your box by the volume of each cube to determine the number of cubes needed.

6912 in³ / 8in³ = 864 cubes.

When given problems with different units, make sure to convert all your numbers to the same units to stay consistent.

Answer 3

2 ft x 2 ft x 1 ft

24 in x 24 in x 12 in

How many boxes in a row? How many rows? How high?

Draw and label a diagram.