unit 5 lesson 8 volume of a right rectangular prism
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?
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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.
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.