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Pls help me!!!

Robin's teacher asked her to find a box that would hold some small
1 inch cubes that the kindergartners used for counting. Robin
found three boxes with the following dimensions: Box A: 4" x 6" x
8" Box B: 6" x 3" x 12" Box C: 6" x 6" x 4" Which box would be
able to hold all the cubes if Robin's teacher had 200 cubes?

1 Answer

6 votes

To determine which box can hold all the cubes, we need to calculate the volume of each box and compare it to the volume occupied by the cubes.

The volume of a rectangular box is calculated by multiplying its length, width, and height.

Box A:

Volume = 4" x 6" x 8" = 192 cubic inches

Box B:

Volume = 6" x 3" x 12" = 216 cubic inches

Box C:

Volume = 6" x 6" x 4" = 144 cubic inches

Since the cubes have a side length of 1 inch, the volume occupied by 200 cubes would be:

Volume of cubes = 200 cubic inches

Comparing the volumes, we find that:

- Box A has a volume of 192 cubic inches, which is less than the volume of the cubes.

- Box B has a volume of 216 cubic inches, which is greater than the volume of the cubes.

- Box C has a volume of 144 cubic inches, which is less than the volume of the cubes.

Therefore, the box that would be able to hold all 200 cubes is Box B: 6" x 3" x 12".

User Jan Zegan
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