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A rectangular box measures internally 1.6 m long, 1 m broad and 60 cm deep. The number of cubical blocks each of edge 20 cm that can be packed inside the box is:
- a)60
- b)53
- c)30
- d)120
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A rectangular box measures internally 1.6 m long, 1 m broad and 60 cm...
Volume of rectangular box = 160 x 100 x 60 cm3
and volume of one cubical block = 20 x 20 x 20 cm3
∴ Required number of cubical block = (160×100×60)/(20×20×20) = 120 blocks
Most Upvoted Answer
A rectangular box measures internally 1.6 m long, 1 m broad and 60 cm...
To determine the number of cubical blocks that can be packed inside the given rectangular box, we need to calculate the volume of the box and the volume of the cubical block.
1. Calculate the Volume of the Box:
The length of the box is given as 1.6 m, the breadth is given as 1 m, and the depth is given as 60 cm. We need to convert the depth to meters, so we divide by 100.
Volume of the box = Length * Breadth * Depth
= 1.6 m * 1 m * (60 cm / 100)
= 1.6 m * 1 m * 0.6 m
= 0.96 cubic meters
2. Calculate the Volume of the Cubical Block:
The edge length of the cubical block is given as 20 cm. We need to convert it to meters, so we divide by 100.
Volume of the cubical block = Edge length * Edge length * Edge length
= (20 cm / 100) * (20 cm / 100) * (20 cm / 100)
= 0.2 m * 0.2 m * 0.2 m
= 0.008 cubic meters
3. Calculate the Number of Cubical Blocks:
To find the number of cubical blocks that can be packed inside the box, we divide the volume of the box by the volume of each cubical block.
Number of cubical blocks = Volume of the box / Volume of each cubical block
= 0.96 cubic meters / 0.008 cubic meters
= 120
Therefore, the number of cubical blocks each of edge 20 cm that can be packed inside the box is 120. Hence, the correct answer is option D.
1. Calculate the Volume of the Box:
The length of the box is given as 1.6 m, the breadth is given as 1 m, and the depth is given as 60 cm. We need to convert the depth to meters, so we divide by 100.
Volume of the box = Length * Breadth * Depth
= 1.6 m * 1 m * (60 cm / 100)
= 1.6 m * 1 m * 0.6 m
= 0.96 cubic meters
2. Calculate the Volume of the Cubical Block:
The edge length of the cubical block is given as 20 cm. We need to convert it to meters, so we divide by 100.
Volume of the cubical block = Edge length * Edge length * Edge length
= (20 cm / 100) * (20 cm / 100) * (20 cm / 100)
= 0.2 m * 0.2 m * 0.2 m
= 0.008 cubic meters
3. Calculate the Number of Cubical Blocks:
To find the number of cubical blocks that can be packed inside the box, we divide the volume of the box by the volume of each cubical block.
Number of cubical blocks = Volume of the box / Volume of each cubical block
= 0.96 cubic meters / 0.008 cubic meters
= 120
Therefore, the number of cubical blocks each of edge 20 cm that can be packed inside the box is 120. Hence, the correct answer is option D.
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A rectangular box measures internally 1.6 m long, 1 m broad and 60 cm deep. The number of cubical blocks each of edge 20 cm that can be packed inside the box is:a)60b)53c)30d)120Correct answer is option 'D'. Can you explain this answer?
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