What is the volume of the composite figure?
7 in, 7 in, 7 in, 8 in, 10 in, 16 in
To find the volume of the composite figure, we will need to find the volume of each individual figure and then add them together.
The composite figure is made up of a cube with side length 7 inches and a rectangular prism with dimensions 8 inches, 10 inches, and 16 inches.
The volume of a cube is calculated by V = s^3, where s is the side length. Therefore, the volume of the cube is 7^3 = 343 cubic inches.
The volume of a rectangular prism is calculated by V = l x w x h, where l is the length, w is the width, and h is the height. Therefore, the volume of the rectangular prism is 8 x 10 x 16 = 1280 cubic inches.
Adding the volumes of the cube and the rectangular prism together, we get:
343 + 1280 = 1623 cubic inches
Therefore, the volume of the composite figure is 1623 cubic inches.