2 in 2 in 2 in 2 in 6 in 6 inWhat is the volume kf the composite figure?
To find the volume of the composite figure, we need to first calculate the volume of each individual shape and then add them up.
1. The first shape is a cube with side length of 2 inches. The volume of a cube is calculated by V = s^3, where s is the side length. So the volume of the first cube is V1 = 2^3 = 8 cubic inches.
2. The second shape is a rectangular prism with dimensions 2 inches by 2 inches by 6 inches. The volume of a rectangular prism is calculated by V = l*w*h, where l is the length, w is the width, and h is the height. So the volume of the rectangular prism is V2 = 2*2*6 = 24 cubic inches.
3. The third shape is another rectangular prism with dimensions 6 inches by 6 inches by 2 inches. The volume of this rectangular prism is V3 = 6*6*2 = 72 cubic inches.
Now, we can find the total volume of the composite figure by adding the volumes of the three shapes together:
Total Volume = V1 + V2 + V3
Total Volume = 8 + 24 + 72
Total Volume = 104 cubic inches
Therefore, the volume of the composite figure is 104 cubic inches.