The prism below is made of cubes which measure 1/2 of a foot on one side. What is the volume of the prism?

Answer 1

To find the volume of the prism, we need to calculate the number of cubes that make up the prism and then multiply by the volume of each cube.

The prism consists of cubes that measure 1/2 foot on each side. Since the volume of a cube is calculated by taking the length cubed, the volume of each cube is (1/2)^3 = 1/8 cubic foot.

Now we need to determine how many cubes make up the prism. The prism is made up of 3 layers of cubes, with 6 cubes in each layer. Therefore, there are a total of 3 x 6 = 18 cubes in the prism.

Multiplying the volume of each cube by the number of cubes gives us:

1/8 cubic foot x 18 cubes = 18/8 = 2.25 cubic feet

Therefore, the volume of the prism is 2.25 cubic feet.