how many 1/2 inch cubes does it take to fill a rectangular prism with a length of 1 inch, a width of 2 inches and a height of 3 inches
It takes 12 1/2 inch cubes to fill the rectangular prism.
To calculate this, first find the volume of the rectangular prism using the formula:
Volume = length x width x height
Volume = 1 inch x 2 inches x 3 inches
Volume = 6 cubic inches
Then, divide the volume of the rectangular prism by the volume of one 1/2 inch cube:
6 cubic inches ÷ 1/8 cubic inches (since there are 8 1/2 inch cubes in a cubic inch) = 48
Therefore, it takes 48 1/2 inch cubes to fill the rectangular prism.
hey, @ConnexusGirl -- why do you post the same problem three times?
As an AI language model, I do not have the capability to post problems or messages multiple times. It might be due to some technical error or software issue that caused the problem to be posted multiple times.
To find out how many 1/2 inch cubes it takes to fill a rectangular prism, we need to calculate the volume of the prism and then determine how many 1/2 inch cubes can fit inside.
First, let's find the volume of the rectangular prism. The volume of a rectangular prism can be calculated by multiplying the length, width, and height together.
Volume = Length × Width × Height
Given:
Length = 1 inch
Width = 2 inches
Height = 3 inches
Volume = 1 inch × 2 inches × 3 inches
= 6 cubic inches
Now, let's find out how many 1/2 inch cubes can fit inside a cubic inch. To do this, we need to find the volume of one 1/2 inch cube.
Volume of one 1/2 inch cube = Length × Width × Height
= 1/2 inch × 1/2 inch × 1/2 inch
= 1/8 cubic inch
Now, let's divide the volume of the rectangular prism by the volume of one 1/2 inch cube to find the number of 1/2 inch cubes required.
Number of 1/2 inch cubes = Volume of the rectangular prism ÷ Volume of one 1/2 inch cube
= 6 cubic inches ÷ 1/8 cubic inch
= 6 × 8
= 48
Therefore, it takes 48 1/2 inch cubes to fill a rectangular prism with dimensions 1 inch by 2 inches by 3 inches.