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

Answer 1

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

1. The main rectangle:
The dimensions of the main rectangle are 30cm x 15cm x 20cm.
Volume = length x width x height
Volume = 30cm x 15cm x 20cm
Volume = 9000 cm³

2. The triangle roof:
The dimensions of the triangle roof are 30cm x 15cm x 10cm (height of the triangle).
Volume = 1/2 x base x height x width
Volume = 1/2 x 30cm x 15cm x 10cm
Volume = 2250 cm³

Now add the volumes of both parts together:
Total volume = 9000 cm³ + 2250 cm³
Total volume = 11250 cm³

Therefore, the volume of the dollhouse is 11250 cm³.