unit 5 lesson 8 volume of a right rectangular prism

Question

use the image to answer the question

how many 1/2 inch cubes would fit inside a right rectangular prism with a length of 2 inches, a width of 1 1/2 inches, and a height of 3 inches?

Answer 1

To find the volume of the right rectangular prism, you need to multiply the length, width, and height.

Volume = length x width x height
Volume = 2 inches x 1 1/2 inches x 3 inches
Volume = 2 inches x 3/2 inches x 3 inches
Volume = 6 cubic inches

Since each half-inch cube has a volume of 1/2 inch, you can fit 12 half-inch cubes inside the right rectangular prism with a volume of 6 cubic inches.

Answer 2

that was not the correct answer

Answer 3

I apologize for the mistake. Let's try again.

To find the number of half-inch cubes that can fit inside the right rectangular prism, we need to find the volume in terms of half-inch cubes.

Since each dimension is given in inches, we need to convert the dimensions to half inches.

1 inch is equal to 2 half inches, so:

Length = 2 inches = 4 half inches
Width = 1 1/2 inches = 3 half inches
Height = 3 inches = 6 half inches

Now, calculate the volume in terms of half-inch cubes:

Volume = Length x Width x Height
Volume = 4 half inches x 3 half inches x 6 half inches
Volume = 72 half-inch cubes

Therefore, 72 half-inch cubes can fit inside the right rectangular prism with dimensions of 2 inches, 1 1/2 inches, and 3 inches.