find two boxes that will hold half as many centimeter cubes as the 3 centimeters by 4 centimeters by 6 centimers box.

Thank you

Does one have to fill the two boxes? If not just about any two boxes will do, if they are large enough.

Do the boxes have to be the same? Is there a particular shape desired for the boxes? Cubes? Rectangular solids? Triangular box?

5.1

To find boxes that will hold half as many centimeter cubes as the 3 centimeters by 4 centimeters by 6 centimeters box, we need to calculate the volume of the larger box and then find two smaller boxes with volumes that are half of the larger box.

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

For the larger box, the length is 3 centimeters, the width is 4 centimeters, and the height is 6 centimeters. Therefore, the volume of the larger box is:

Volume = length x width x height
= 3 cm x 4 cm x 6 cm
= 72 cubic centimeters

Now, to find two smaller boxes with volumes that are half of 72 cubic centimeters (i.e., 36 cubic centimeters), we can manipulate the dimensions while maintaining the same ratio.

One possible option is to create a box with dimensions of 3 cm x 2 cm x 6 cm, which has a volume of:

Volume = 3 cm x 2 cm x 6 cm
= 36 cubic centimeters

Another option is to create a box with dimensions of 6 cm x 4 cm x 1.5 cm, which also has a volume of:

Volume = 6 cm x 4 cm x 1.5 cm
= 36 cubic centimeters

So, you can use either a 3 cm x 2 cm x 6 cm box or a 6 cm x 4 cm x 1.5 cm box, both with volumes half that of the larger 3 cm x 4 cm x 6 cm box.