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?

1 answer

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.