Question

How many 12 -inch cubes would fit inside a right rectangular prism with a length of 2 inches, a width of 112 inches, and a height of 3 inches?

(1 point)
___cubes

Answer 1

no

Answer 2

112 cubes

Answer 3

I apologize for the error in my previous response. To determine how many 12-inch cubes can fit inside a right rectangular prism with dimensions of 2 inches by 112 inches by 3 inches, we need to first convert all dimensions to inches for consistency.

The volume of the right rectangular prism can be calculated using the formula:

Volume = length x width x height

Volume = 2 inches x 112 inches x 3 inches
Volume = 672 cubic inches

Next, we need to determine how many 12-inch cubes can fit into this volume. Since each cube has a volume of:

Volume of one cube = 12 inches x 12 inches x 12 inches
Volume of one cube = 1728 cubic inches

Finally, we divide the total volume of the prism by the volume of one cube:

672 cubic inches / 1728 cubic inches per cube = 0.3889

Therefore, approximately 0.3889, or rounded down to 0, 12-inch cubes can fit inside the right rectangular prism with the given dimensions.