Question

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?

Answer 1

Answer:

$500\text{ cm}^2$

Step-by-step 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,

$\frac{\text{surface area of large container}}{\text{surface area of small container}}=\frac{16}{0.25}$

$\frac{3200}{k}=64$

$k=500\text{ cm}^2$

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