Question

Volume of Composite 3D Figures Quick Check 1 of 51 of 5 Items Question Use the image to answer the question. Solve for the volume of the composite figure. (1 point) Responses 448 cm, 154 cm3, 616 cm3

Answer 1

To find the volume of the composite figure, we need to break it down into two separate figures: a rectangular prism and a triangular prism.

First, calculate the volume of the rectangular prism:
Volume = length x width x height
Volume = 8 cm x 7 cm x 11 cm
Volume = 616 cm^3

Next, calculate the volume of the triangular prism:
Area of the base triangle = 1/2 x base x height
Area of the base triangle = 1/2 x 6 cm x 8 cm
Area of the base triangle = 24 cm^2

Volume of the triangular prism = area of the base triangle x height of the prism
Volume of the triangular prism = 24 cm^2 x 3 cm
Volume of the triangular prism = 72 cm^3

Now, add the volumes of the rectangular prism and the triangular prism together:
616 cm^3 + 72 cm^3 = 688 cm^3

Therefore, the volume of the composite figure is 688 cm^3. The response of 616 cm^3 is incorrect.