Question

Two sizes of cans of beans are similar. The thickness of the walls and bases are the same in both cans. The ratio of their surface areas is 4:9. The surface area of the smaller can is 36 sq in. If the sheet metal used to make the cans costs $0.006 per square inch, how much does it cost to make each can?

Answer 1

Answer:

It costs  $0.216  to make smaller can and $0.324 to make larger can

Step-by-step explanation:

Given:

The ratio of the surface areas = 4:9

Area of smaller cans =  36 sq in

Cost  = $0.006 per square inch  

To Find:

how much does it cost to make each can = ?

Solution:

Lets the area of the larger can be x

the ratio is  4 :  9

then 4x =  9.(36)

4x = 216

$x = \frac{216}{4}$

x =  54

The area of the larger can is 54 sq in

Now the cost of making the smaller can  =   $36 \times 0.006$ = $0.216

The cost of making the Larger can = $54 \times 0.006$ =$0.324