An ice slab has dimensions 75cm x 60cm x 30 cm. If density of ice is 901 kg/cubic metre. Find the mass of ice cube in kg
explain step by step plz it's urgent
Answers
Given :
• An ice slab of dimensions 75 x 60 x 30 cm.
• The density of ice is 901 kg/m³
To Find :
• The mass of the ice slab.
Solution :
First, we need to find the volume of the ice slab.
- Length of the ice slab = 75 cm
- Breadth of the ice slab = 60 cm
- Height of the slab = 30 cm
→ Volume of the ice slab = l × b × h
where,
• l denotes the length
• b denotes the breadth
• h denotes the height
Substituting the given values :-
→ Volume of the ice slab = 75 x 60 x 30
→ Volume of the ice slab = 135000
Therefore, the volume of ice slab = 135000 cm³
Now, we shall convert the volume of ice slab from cm³ into m³ :-
As we know,
• 1 m³ = 100³ cm³
So, in order to convert the value from cm³ into m³ divide it by (100)³
→ Volume = 135000 ÷ 1000000
→ Volume = 135 ÷ 1000
→ Volume = 0.135
Therefore, the volume of ice slab = 0.135 m³
Formula to calculate mass, when density and volume is given :-
→ Mass = Density × Volume
→ Substituting the given values :-
→ Mass of ice slab = 901 × 0.135
→ Mass of ice slab = 121.635
Therefore, the mass of the ice slab = 121.635 kg