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2.11 Quiz Reasoning About Area And Volume

Question: A triangle with an area of 3 mm² is dilated by a factor of 6.

What is the area of the dilated triangle?

Answer: 108 mm²

Question: A rectangle with an area of 4/7 m² is dilated by a factor of 7.

What is the area of the dilated rectangle?

Answer: 28 m²

Question: A prism with a volume of 270 m³ is dilated by a factor of 3.

What is the volume of the dilated prism?

Answer: 7290 m³

Question: A prism with a base area of 3 m² and a height of 4 m is dilated by a factor of 3/2 .

What is the volume of the dilated prism?

Answer: 40.5 m³

Question: A prism with a volume of 3125 ft³ is scaled down to a volume of 200 ft³.

What is the scale factor?

Answer: 2/5