Geometry | Unit 5 | Lesson 6: Scaling Solids | Practice Problems

It takes 2 ounces of paint to completely cover all 6 sides of a rectangular prism box which holds 15 cups of sugar. Double the dimensions of the box. Approximately how much paint would the new box need? How much sugar would it hold?

• 4 ounces of paint, 30 cups of sugar

• 6 ounces of paint, 60 cups of sugar

• 8 ounces of paint, 120 cups of sugar

• 10 ounces of paint, 150 cups of sugar

• 12 ounces of paint, 180 cups of sugar

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A solid’s volume is 10 cubic inches. The solid is dilated by a scale factor of 3.5. Kiran says, “I calculated the volume of the image as 35 cubic inches, but I don’t think that’s right.” What might Kiran have done wrong? What is the volume of the image?

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• (0,0)

• (1,1)

• (4,1)

• (8,2)

Tyler is designing a banner that will welcome people to a festival. The design for the banner has an area of 1.5 square feet. The actual banner will be a dilation of the design by a factor of 5. What will the area of the actual banner be?

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A regular hexagon is inscribed in a circle of radius 1 inch. What is the area of the shaded region?

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