Question

The can of tomatoes is three times as tall but one-third as wide as the can of tuna. What is true about the areas of their labels?

Answer 1

Area of the label is calculated as diameter*PI*height
So if height of tomato can is 3 times the can of tuna: hTOM=3*hTUNA
Diameter of a tomato can is three times smaller so: dTOM=dTUNA÷3

so Area of a tomato can label= A=(dTUNA÷3)*PI*3*hTUNA
A=dTUNA*PI*hTUNA

and the area of a tuna can label=
A=dTUNA*PI*hTUNA

So, the label areas are the same.