What is the volume of the composite figure? 7in, 7in, 16in, 8in, 10in, and 7in
To find the volume of a composite figure, we can break it down into simpler shapes and find the volume of each shape separately.
This composite figure consists of two rectangular prisms and a triangular prism.
First, let's find the volume of the rectangular prism with dimensions 7in x 7in x 16in:
Volume = length x width x height
Volume = 7in x 7in x 16in
Volume = 784 cubic inches
Next, let's find the volume of the rectangular prism with dimensions 8in x 10in x 7in:
Volume = length x width x height
Volume = 8in x 10in x 7in
Volume = 560 cubic inches
Finally, let's find the volume of the triangular prism with base 16in and height 7in:
Volume = 1/2 x base x height x width
Volume = 1/2 x 16in x 7in x 7in
Volume = 392 cubic inches
Now, add up the volumes of each shape to find the total volume of the composite figure:
Total Volume = 784 cubic inches + 560 cubic inches + 392 cubic inches
Total Volume = 1736 cubic inches
Therefore, the volume of the composite figure is 1736 cubic inches.