Tyler built a dollhouse for his sister as shown in the diagram below. Find the volume of the dollhouse. Round your answer to the nearest tenth. Show all work in order to receive full credit. You may upload a picture of your work.

Answer 1

To find the volume of the dollhouse, we need to find the volume of each part and then add them together.

The dollhouse consists of a rectangular prism and a triangular prism.

First, let's find the volume of the rectangular prism:
Length = 16 cm
Width = 10 cm
Height = 9 cm

Volume of rectangular prism = Length x Width x Height
Volume = 16 cm x 10 cm x 9 cm
Volume = 1440 cm^3

Next, let's find the volume of the triangular prism:
Base = 10 cm
Height = 9 cm
Length = 11 cm
Volume of triangular prism = (1/2) x Base x Height x Length
Volume = 0.5 x 10 cm x 9 cm x 11 cm
Volume = 495 cm^3

Now, add the volumes of the rectangular prism and the triangular prism:
Volume of dollhouse = 1440 cm^3 + 495 cm^3
Volume = 1935 cm^3

Therefore, the volume of the dollhouse is 1935 cubic cm. Rounded to the nearest tenth, the volume is 1935.0 cubic cm.