Question

10. Two cubical boxes made of
card-board have their edges in the
ratio 3: 4. The ratio of the
amounts of card-board in each of
them is :​

Answer 1

Answer:

1.5:2 is the answer for the question

Answer 2

The ratio of the amounts of cardboard in each of them is 9: 16

Given :

The ratio of the edges of a cube = 3: 4

To find :

The ratio of the amounts of card-board in each of them

Solution :

It is given that,

The ratio of the edges of a cube = 3: 4

The ratio of the amounts of cardboard in each of them = The surface area

We know that,

The surface area of a cube = 6a²

Now,

6x²/6y² = 3²/4²

   x²/y² =  9: 16

Therefore, the ratio of the amounts of cardboard in each of them is 9: 16

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