Illustrative Mathematics - Geometry - Unit 5 - Lesson 8
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A board game manufacturer wraps its game boxes in plastic. Its most popular game comes in a box that’s 8 cm tall and uses 1408 square centimeters of plastic wrap. The company sells a travel version of the game in a box that's a dilation of the original box.
The travel version uses 198 square centimeters of plastic wrap. How tall is the travel version's box?
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A cone has surface area 360\pi in2 and volume 800\pi in3. The cone is dilated, and the surface area of the dilated cone is 2,250\pi in2. What is the dilated cone's volume?
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A scale model of an oil tanker truck can hold 1 gallon of oil.
If a trucking company wants the full-size truck to hold 8,000 gallons of oil, what scale factor must they apply to the model?
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A solid has volume 4 cubic units. The equation k=\sqrt[3]{\frac{V}{4}} represents the scale factor of k by which the solid must be dilated to obtain an image with volume V cubic units.
List 2 points which are on the graph representing this equation.
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A circle with an area of 100\pi square centimeters is dilated so that its image has an area of 25\pi square centimeters.
What is the scale factor of the dilation?
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This lesson is from Illustrative Mathematics. Geometry, Unit 5, Lesson 8. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/5/8/index.html ; accessed 29/July/2021.
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