Question
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
Answers
GPT 3.5
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.
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.