Solve for the volume of the composite figure. (1 point) Responses 952 cm3 952 cm cubed 616 cm3 616 cm cubed 448 cm3 448 cm cubed 154 cm3
To solve for the volume of the composite figure, we need to break it down into simpler shapes and calculate the volume of each shape separately.
The composite figure is made up of a rectangular prism and a pyramid.
Volume of rectangular prism = length x width x height
= 8 cm x 7 cm x 11 cm
= 616 cm^3
Volume of pyramid = 1/3 x base area x height
= 1/3 x (7 cm x 4 cm) x 10 cm
= 1/3 x 28 cm^2 x 10 cm
= 1/3 x 280 cm^3
= 93.33 cm^3
Total volume of composite figure = volume of rectangular prism + volume of pyramid
= 616 cm^3 + 93.33 cm^3
= 709.33 cm^3
Therefore, the closest option to the volume of the composite figure is 616 cm^3.