what is the volume of the composite figure
2in 2in 2in 6in 6in
blank in^3
The volume of a composite figure is calculated by breaking it down into simpler shapes and then adding up the volumes of those shapes. In this case, the composite figure can be broken down into a rectangular prism and two cubes.
The rectangular prism has dimensions 2in x 2in x 6in. The volume of a rectangular prism is calculated as length x width x height. So, the volume of the rectangular prism is:
2in x 2in x 6in = 24in^3
Next, there are two cubes with dimensions 2in x 2in x 2in each. The volume of a cube is calculated as edge length^3. So, the volume of one cube is:
2in x 2in x 2in = 8in^3
Since there are two cubes, the total volume of the cubes is:
2 x 8in^3 = 16in^3
Therefore, the total volume of the composite figure is:
24in^3 (rectangular prism) + 16in^3 (two cubes) = 40in^3