Unit 5, Lesson 6
Scaling Solids
Geometry
Practice
Problem 1
It takes 2 ounces of paint to completely cover all 6 sides of a rectangular prism box that 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?
Problem 2
A solid with volume 12 cubic units is dilated by a scale factor of \(k\). Find the volume of the dilated solid for each given value of \(k\).
- \(k=\frac{1}{4}\)
- \(k=0.4\)
- \(k=1\)
- \(k=1.2\)
- \(k=\frac{5}{3}\)
Problem 3
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?