How many dice each measuring 2 cm*2 cm*2 cm can be placed in a box measuring 10cm*10 cm*10 cm
solve with explanation
Answers
Answer:
Volume of box=10*10*10 cubic cm
=1000 cubic cm
Volume of each dice=2*2*2 cubic cm
=8 cubic cm
No of dice=Volume of box/Volume of dice=
1000/8=125 dice.
Given:
✰ Measure of each dice = 2 cm × 2 cm × 2 cm
✰ Measure of a box = 10 cm × 10 cm × 10 cm
To find:
✠ The number of dice that can be placed in a box.
Solution:
❖ Let's understand how we can solve this question! First we will find volume of each dice as the measure of each dice is already given to us. Then, we will find volume of a box as measure of a box is already given to us. After that we will divide volume of a box by volume of each dice to get the number of dice that can be placed in a box.
✭ Volume = length × breadth × height ✭
- Volume of each dice = l × b × h
- Volume of each dice = 2 cm × 2 cm × 2 cm
- Volume of each dice = 2 × 2 × 2 cm³
- Volume of each dice = 8 cm³
Now,
- Volume of a box = l × b × h
- Volume of a box = 10 cm × 10 cm × 10 cm
- Volume of a box = 10 × 10 × 10 cm³
- Volume of a box = 1000 cm³
➤ The number of dice = Volume of a box/Volume of each dice
➤ The number of dice = 1000/8
➤ The number of dice = 125 dice
▭▬▭▬▭▬▭▬▭▬▭▬▭▬▭▬