What is the volume of the composite figure?
3in, 3in, 4in, 10in.
To find the volume of a composite figure, we will first need to split it into simpler shapes and then find the volume of each individual shape.
The composite figure given here can be split into a rectangular prism (3in x 3in x 4in) and a rectangular pyramid (3in x 3in x 10in).
Volume of rectangular prism = length x width x height
Volume of rectangular prism = 3in x 3in x 4in
Volume of rectangular prism = 36 cubic inches
Volume of rectangular pyramid = (1/3) x base area x height
Volume of rectangular pyramid = (1/3) x (3in x 3in) x 10in
Volume of rectangular pyramid = (1/3) x 9in^2 x 10in
Volume of rectangular pyramid = 30 cubic inches
Now, we can find the total volume of the composite figure by adding the volumes of the rectangular prism and the rectangular pyramid together.
Total volume = 36 cubic inches + 30 cubic inches
Total volume = 66 cubic inches
Therefore, the volume of the composite figure is 66 cubic inches.