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A cubical container is 4/5 filled with water. It contains 2.7l of water. Find the base area of the container

User HaC
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1 Answer

5 votes

Answer:

225 cm²

Explanation:

The container has 2.7L of water in it but it is only 4/5 full

Therefore if the container were to be filled entirely with water it would contain
2.7 x 5/4 = 3.375 Liters

This, therefore is the volume of the container is 3.375 L
3.375 L = 3.375 x 1000 cm³
= 3, 375 cm³

The volume of a cube of side a is given by
V = a³

The base area of a cube of side a is given by
A = a²

We have calculated the volume of the cube as 3.375 cm³

Therefore each side of the cubical container

a = \sqrt[3]{3375} = 15 cm

The base area is
a² = 15²
= 225 cm²

User Junny
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