What is the volume of of the prism if it has 21 cubes on two sides 14 cubes on two sides and six cubes on the top and bottom

1 answer

To find the volume of the prism, we can first calculate the volume of each side and then add them together.

Each side with 21 cubes has a volume of 21 cubes.

Each side with 14 cubes has a volume of 14 cubes.

There are 2 sides with 21 cubes and 2 sides with 14 cubes, so the total volume of these sides is (21 cubes + 21 cubes) + (14 cubes + 14 cubes) = 42 + 28 = 70 cubes.

The top and bottom each have 6 cubes, so the total volume of these sides is 6 cubes + 6 cubes = 12 cubes.

Finally, we add the volumes of the individual sides: 70 cubes + 12 cubes = 82 cubes.

The volume of the prism is therefore 82 cubic units.