Question

Frank purchased a new ice box having 2kg capacity. He wants it to be full with ice cubes. He measured the ice cubes to be 3.5 cm by 3.5 cm by 3.5 cm and have a density of 0.914 g/ml. How many cubes can he put in the box?

Answer 1

Frank can put 5 cubes in the box.

Explanation:

Formula:

Mass = Volume × density.

1 cubic centimetre = 0.001 liter= 1 millilitre

Given that,

Frank purchase a new ice box having 2 kg capacity.

So,the mass of the cubes is 2 kg.

Each ice cubes measured 3.5 cm by 3.5 cm by 3.5 cm.

The volume of a cube is =
`Side ^3`

The volume of a each ice cubes is =
`3.5^3` cm³

= 42.875 ml

The ice cubes have a density of 0.914 g/ml

The mass of each cubes are

=volume of each ice cubes × density

=42.875 ml ×0.914 g/ml

=39.18775 gram.

Let x number of ice cubes he can put in the box.

The mass of x cubes is = 39.18775x grams.

2 kg= 2,000 gram [ since 1 kg= 1000 gram]

According to the problem,

39.18775x=2,000

`\Rightarrow x=(2000)/(39.18775)`

`\Rightarrow x\approx 51`

Frank can put 5 cubes in the box.