Problem of the Week - Algebra and Up - March 7, 2021 to March 13, 2021

Mar 14, 2021 | West Covina

 

 

Algebra and Up: 

 

Question: A 6-inch tall marshmallow man has a volume of 15 cubic inches. If the marshmallow man magically increases in size so that he grows proportionally to a height of 100 feet, then what is his new volume? 

 

 

 

 

 

 

 

Answer: 120,000,000 cubic inches

 

 

 

Solution: The marshmallow man started at half a foot tall and grew to 100 feet tall, so his height was multiplied by 200. If he increased in size proportionally, his width and length also should be multiplied by 200. So, his new volume is 15 x 200 x 200 x 200 = 120,000,000 cubic inches. 

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