A composite figure has numbers of 11inches, 4 inches, 3 inches, 3 inches, and 3 inches. what is the volume of the figure?

1 answer

To find the volume of a composite figure, we first need to find the volume of each individual figure and then add them together.

The figure consists of a rectangular prism with dimensions 11in (length) x 4in (width) x 3in (height) and three rectangular prisms with dimensions 3in (length) x 4in (width) x 3in (height).

The volume of the large rectangular prism is:
Volume = length x width x height
Volume = 11in x 4in x 3in
Volume = 132 cubic inches

The volume of each smaller rectangular prism is:
Volume = length x width x height
Volume = 3in x 4in x 3in
Volume = 36 cubic inches

Since there are three smaller rectangular prisms, the total volume of the three smaller rectangular prisms is:
Total volume = 36 cubic inches x 3
Total volume = 108 cubic inches

Finally, we add the volumes of the large and small rectangular prisms together to find the total volume of the composite figure:
Total volume = 132 cubic inches + 108 cubic inches
Total volume = 240 cubic inches

Therefore, the volume of the composite figure is 240 cubic inches.