Answer:
Frank can put 5 cubes in the box.
Step-by-step 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](https://tex.z-dn.net/?f=Side%20%5E3)
The volume of a each ice cubes is =
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=\frac{2000}{39.18775}](https://tex.z-dn.net/?f=%5CRightarrow%20x%3D%5Cfrac%7B2000%7D%7B39.18775%7D)
![\Rightarrow x\approx 51](https://tex.z-dn.net/?f=%5CRightarrow%20x%5Capprox%2051)
Frank can put 5 cubes in the box.