What is the volume of the composite figure?
3 in
3 in
3 in
4 in
11 in
To find the volume of the composite figure, we need to first find the volume of the individual shapes and then add them together.
The first shape is a cube with sides of 3 inches. The formula for the volume of a cube is V = s^3, where s is the length of a side. So the volume of the first cube is 3^3 = 27 cubic inches.
The second shape is a cube with sides of 4 inches. Using the same formula, the volume of the second cube is 4^3 = 64 cubic inches.
The third shape is a rectangular prism with dimensions 3 inches by 3 inches by 11 inches. The formula for the volume of a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height. So the volume of the rectangular prism is 3*3*11 = 99 cubic inches.
Adding the volumes of the three shapes together:
27 + 64 + 99 = 190 cubic inches
Therefore, the volume of the composite figure is 190 cubic inches.