Answer:
Cubes needed to fill Prism 6: 116
The volume of Prism 6: 125
Explanation:
First, multiply the length by the width. We can find these measurements by looking at the bottom diagonal line of the cubes.
Count how many sides are facing the front on the lowest side.
There are 5 squares facing forwards that are inside the Prism. Therefore the width/length is 5 cubic units.
Now count how many cubes it takes to go from the front side to the backside, or how many squares are facing the right. Remember this is a 3-dimensional object.
5 squares are facing the right, each belonging to the 5 cubes on the bottom of the prism.
Now count how many cubes are stacking. There are 5 cubes in the tower.
To find the volume, multiply all the measurements together.
Volume = Length x Height x Width (5 x 5 x 5)
Now to find how many cubes are needed to fill the prism, count how many cubes are already inside Prism 6.
Once you've found out how much the volume is, subtract the number of cubes inside the prism(9) from the volume(125).
125 - 9 = 116 cubes are needed to fill Prism 6.