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A container has a surface area of 3,200 cm squared and a capacity of 16 liters. The surface area of a similar container that has a capacity of 0.25 liter is k cm squared, where k is a whole number to be determined. What is the value of k?

1 Answer

4 votes

Answer:


500\text{ cm}^2

Explanation:

GIVEN: A container has a surface area of
3200\text{ cm}^2 and a capacity of
16\text{ litres}. The surface area of a similar container that has a capacity of
0.25\text{ litres} is
\text{k}\text{ cm}^2

TO FIND: value of k.

SOLUTION:

Surface area of large container
=3200\text{ cm}^2

Capacity of large container
=16\text{ litres}

As the other container is similar

let surface area of other similar container
=\text{k}\text{ cm}^2

Capacity of small container
=0.25\text{ litre}

As volume of a container is directly proportional to its Capacity

Therefore,


\frac{\text{surface area of large container}}{\text{surface area of small container}}=(16)/(0.25)


(3200)/(k)=64


k=500\text{ cm}^2

Hence the value of
k is
500\text{ cm}^2

User Kavko
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