how many alarm clock of size 5 cm × 10cm×10m can be packed into a box of size 1 m ×1/2m×3/2m?
Answers
Given :
Dimensions of an alarm clock :-
- Length of an alarm clock = 5 cm
- Breadth of an alarm clock = 10 cm
- Height of an alarm clock = 10 m
Dimensions of a box :-
- Length of the box = 1 m
- Breadth of the box = 1/2 m
- Height of the box = 3/2 m
To find :
- Number of alarms that can be packed in the box
Solution :
Firstly, we will convert the length and breadth of the clock from cm into m.
As we know,
1 cm = 1/100 m = 0.01 m
Divide the value by 100 m to convert it from cm into m.
Length of the alarm clock = 5/100 = 0.05 m
Breadth of the alarm clock = 10/100 = 1/10 = 0.1 m
Now, we will find the volume of the alarm clock.
Using formula,
Volume = l × b × h
where,
- l = length of the alarm clock
- b = breadth of the alarm clock
- h = height of the alarm clock
Substitute the given values,
⇒ Volume = 0.05 × 0.1 × 10
⇒ Volume = 0.05
Volume of the alarm clock = 0.05 m³
Now, we will find the volume of the box.
Volume = l × b × h
Substitute the given values,
⇒ Volume = 1 × 1/2 × 3/2
⇒ Volume = 0.75
Volume of the box = 0.75 m³
Number of alarm clocks that can be packed into the box = Volume of box/Volume of alarm clock
⇒ 0.75/0.05
⇒ 75/5
⇒ 15
Number of alarm clocks that can be packed into the box = 15