Similarity Challenge
A cube has a volume of 3 cm3 . The cube is enlarged until its surface area is 100 times the
surface area of the original cube. What is the volume of the enlarged cube?
Comment [RC1]: 3000 cubic cm
A triangle has an area of 30 cm 2 . What would be the area of a similar triangle whose sides are
three times the length of the original?
Comment [RC2]: 9 times bigger or 270 cm
Kaitlyn is making a snowman with three large balls of snow. She rolls three snowballs so that
the top has a 2-ft diameter, the middle has a 3-ft diameter and the bottom has a 4-ft diameter.
If the weight of the top ball is 80 pounds, what is the weight of the entire snowman? (Careful:
Think about ratios of weight)
2
Comment [RC3]: Since weight is measured in
cubic feet, the ratio of weight is 8:27:64. So the
scale factor is 10. Top- 80 lbs, middle-270 lbs and
bottom- 640 lbs. Total weight is 990 lbs.