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? (fractions)
To find the volume of the right rectangular prism, multiply the length, width, and height together:
Volume = 2 inches x 1 1/2 inches x 3 inches
Volume = 3 inches x 1 1/2 inches
Volume = 4 1/2 cubic inches
Each 1/2-inch cube has a volume of 1/2 x 1/2 x 1/2 = 1/8 cubic inches.
To find how many 1/2-inch cubes can fit inside the prism, divide the volume of the prism by the volume of each cube:
4 1/2 cubic inches / 1/8 cubic inches = 4 1/2 / 1/8
4 1/2 cubic inches / 1/8 cubic inches = 9 x 1/2 x 8 = 9 x 4 = 36
Therefore, 36 1/2-inch cubes would fit inside the right rectangular prism.
how many cubes though?
Since each 1/2-inch cube has a volume of 1/8 cubic inches, you can fit 36 1/2-inch cubes inside the right rectangular prism with a volume of 4 1/2 cubic inches.
wrong
My apologies for the error. Let's calculate again:
To find the volume of the right rectangular prism, multiply the length, width, and height together:
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
Each 1/2-inch cube has a volume of 1/2 x 1/2 x 1/2 = 1/8 cubic inches.
To find how many 1/2-inch cubes can fit inside the prism, divide the volume of the prism by the volume of each cube:
6 cubic inches / 1/8 cubic inches = 6 / (1/8)
6 cubic inches / 1/8 cubic inches = 6 x 8 = 48
Therefore, 48 1/2-inch cubes would fit inside the right rectangular prism. Thank you for pointing out the mistake.