how many cheese cube of the length 3 cm 4 cm height 1 cm can be placed in a box with its length 25 cm and 20 cm and height 9 CM
Answers
Step-by-step explanation:
volume of box / volume of cheese cube
=25×20×9/3×4×1
4500/12=375
Given :
- Length of cheese cube = 3 cm
- Breadth of cheese cube = 4 cm
- Height of cheese cube = 1 cm
- Length of the box = 25 cm
- Breadth of the box = 20 cm
- Height of the box = 9 cm
To find :
- Number of cheese cubes which can be placed in the box
Concept :
Firstly, calculate the volume of the cheese cube and the box. Then divide the volume of the box by the volume of the cheese cube.
Formula to calculate volume :
- Volume of cuboid = l × b × h
where,
• l denotes the length
• b denotes the breadth
• h denotes height
Solution :
Volume of cheese cube :
→ Volume of cheese cube = l × b × h
Substituting the given values :
→ Volume of cheese cube = 3 × 4 × 1
→ Volume of cheese cube = 12
Volume of the cheese = 12 cm³
Volume of the box :
→ Volume of box = l × b × h
Substituting the given values :
→ Volume of box = 25 × 20 × 9
→ Volume of box = 4500
Volume of the box = 4500 cm³
Number of cheese cubes which can be placed in the box :-
→ No. of cheese cubes which can be placed in the box = Volume of box ÷ Volume of cheese cube
→ No. of cheese cubes which can be placed in the box = 4500 ÷ 12 = 375
Therefore, 375 cheese cubes can be placed in the box.