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1 . A box is made in the form of a cube. If a second cubical box has inside dimensions three those of the first box, how many times as much does the second contain?

A. 27
B. 12
C. 9
D. 6

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Answer: Option A

Explanation:

Let's consider the volume of each box.

The first box is in the form of a cube, so all sides are equal. Let the length of one side of the first box be "a."

Volume of the first box = a^3
The second box has inside dimensions three times those of the first box. So, each side of the second box is 3a (since it's three times the length of the first box).

Volume of the second box = (3a)^3 = 27a^3
Now, let's find out how many times as much the second box contains compared to the first box:

(Volume of the second box) / (Volume of the first box) = (27a^3) / (a^3) = 27

So, the second box contains 27 times as much as the first box.

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