what is the volume of the composite figure
2in 2in 2in 6in 6in
To find the volume of a composite figure, we will need to find the volume of each individual shape and then add them up.
1. The first shape is a cube with side length 2in. The volume of a cube is calculated using the formula V = s^3, where s is the side length. So, for this cube, the volume would be V = 2^3 = 8 cubic inches.
2. The second shape is a rectangular prism with dimensions 6in by 2in by 2in. The volume of a rectangular prism is calculated using the formula V = l x w x h, where l is the length, w is the width, and h is the height. So, for this rectangular prism, the volume would be V = 6 x 2 x 2 = 24 cubic inches.
Now, to find the total volume of the composite figure, we add the volumes of the cube and the rectangular prism: 8 + 24 = 32 cubic inches.
Therefore, the volume of the composite figure is 32 cubic inches.