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

(A) 3

(B) 9

(C) 12

(D) 27

(E) 64

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

(A) 3

(B) 9

(C) 12

(D) 27

(E) 64

Answer:Step-by-step explanation:Cube2 contains 64cubes1.A box was made in the form of a cube. If a second cubical box has inside dimensions four times those of the first box,

## What is the Ratio?

ratiocan be defined as the proportion of thefractionof one quantity towards others. e.g.- water in milk.Let the dimension of the former cube 1 be a.

And the

dimensionof the later cube 2 is 4a.Now the,

Ratio = volume of cube 2 / volume of cube 1

Ratio = (4a)³ / a³

Ratio = 64 a³ / a³

Ratio = 64

cube2 contains 64cubes1.ratiohere:#SPJ1