In building a scale model of a buking for a movie explosion, a prop designer has to consider the total volume of the material being used for making the 3d printed prop. The building being replicated has a height of 39 feet and takes up a total volume of 38,850n. The scale model has a height of 3 feet. What is the volume for the scale model? n (Round to the nearest hundredth)

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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Please help me find the volume
**Calculating the Volume of a Scale Model for a Movie Prop**

When building a scale model of a building for a movie explosion, a prop designer has to consider the total volume of the material used for making the 3-D printed prop. The building being replicated has a height of 39 feet and a total volume of 38,850 cubic feet (ft³). The scale model has a height of 3 feet. What is the volume for the scale model?

Ensure that the answer is rounded to the nearest hundredth.

**Height of original building:** 39 feet
**Volume of original building:** 38,850 ft³
**Height of scale model:** 3 feet

**Volume of scale model:** \_\_\_\_\_\_\_ ft³ (Round to the nearest hundredth)

To find the volume of the scale model, follow these steps:

1. Determine the scaling factor by dividing the height of the scale model by the height of the original building.
2. Apply the scaling factor to the volume of the original building to find the corresponding volume for the scale model.

Break down the mathematical calculations and provide the answer as an educational example.
Transcribed Image Text:**Calculating the Volume of a Scale Model for a Movie Prop** When building a scale model of a building for a movie explosion, a prop designer has to consider the total volume of the material used for making the 3-D printed prop. The building being replicated has a height of 39 feet and a total volume of 38,850 cubic feet (ft³). The scale model has a height of 3 feet. What is the volume for the scale model? Ensure that the answer is rounded to the nearest hundredth. **Height of original building:** 39 feet **Volume of original building:** 38,850 ft³ **Height of scale model:** 3 feet **Volume of scale model:** \_\_\_\_\_\_\_ ft³ (Round to the nearest hundredth) To find the volume of the scale model, follow these steps: 1. Determine the scaling factor by dividing the height of the scale model by the height of the original building. 2. Apply the scaling factor to the volume of the original building to find the corresponding volume for the scale model. Break down the mathematical calculations and provide the answer as an educational example.
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