Angie packed same-size cubes into a rectangular prism. Area of the base is 6 yd^2
What is the number of cubes needed to fill this prism?
To find the number of cubes needed to fill the prism, we first need to calculate the volume of the prism.
Given that the area of the base is 6 yd^2, and assuming the height of the prism is also 6 yd, we can use the formula for the volume of a rectangular prism:
Volume = base area * height
Volume = 6 yd^2 * 6 yd = 36 yd^3
Each cube has a volume of 1 yd^3 (since all sides are the same length), so the number of cubes needed to fill the prism is:
Number of cubes = Volume of prism / Volume of one cube
Number of cubes = 36 yd^3 / 1 yd^3
Number of cubes = 36
Therefore, Angie needs 36 cubes to fill the rectangular prism.