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The inner dimensions of a closed box are 12cm, 10cm and 8cm. If the thickness of the wood is 1cm, then the capacity f the box is
- a)1920 cu.cm
- b)480 cu.cm
- c)960 cu.cm
- d)1200 cu.cm
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The inner dimensions of a closed box are 12cm, 10cm and 8cm. If the th...
Given: l = 12 cm, b = 10 cm and h = 8 cm
∴ Capacity of a closed box = lbh = 12 x 10 x 8 = 960 cm. cm
Capacity of box of thickness 1 cm = 960/1 = 960 cu. cm
∴ Capacity of a closed box = lbh = 12 x 10 x 8 = 960 cm. cm
Capacity of box of thickness 1 cm = 960/1 = 960 cu. cm
Most Upvoted Answer
The inner dimensions of a closed box are 12cm, 10cm and 8cm. If the th...
Given = inner dimension of box ,(12x10x8)cm
thickness of wood is 1cm
To prove = capacity of box
proof = we know that the capacity depends on inner volume
so that
the volume of inner box is
= 12x10x8 = 960
so the answer is C
hope you got it
thanks
thickness of wood is 1cm
To prove = capacity of box
proof = we know that the capacity depends on inner volume
so that
the volume of inner box is
= 12x10x8 = 960
so the answer is C
hope you got it
thanks
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Community Answer
The inner dimensions of a closed box are 12cm, 10cm and 8cm. If the th...
To find the capacity of the box, we need to calculate the volume of the inner box and subtract the volume of the wood.
Volume of the inner box:
The inner dimensions of the box are given as 12cm, 10cm, and 8cm. We can calculate the volume of the inner box using the formula:
Volume = length x width x height
Volume = 12cm x 10cm x 8cm
Volume = 960 cubic cm
Volume of the wood:
The thickness of the wood is given as 1cm. Since the wood is present on all six faces of the inner box, we need to subtract the volume of the wood from the volume of the inner box.
The outer dimensions of the box can be calculated by adding twice the thickness of the wood to each dimension of the inner box.
Outer length = 12cm + 2(1cm) = 14cm
Outer width = 10cm + 2(1cm) = 12cm
Outer height = 8cm + 2(1cm) = 10cm
Now, we can calculate the volume of the outer box using the formula:
Volume = length x width x height
Volume = 14cm x 12cm x 10cm
Volume = 1680 cubic cm
To find the volume of the wood, we subtract the volume of the inner box from the volume of the outer box:
Volume of the wood = Volume of the outer box - Volume of the inner box
Volume of the wood = 1680 cubic cm - 960 cubic cm
Volume of the wood = 720 cubic cm
Therefore, the capacity of the box is the volume of the inner box minus the volume of the wood:
Capacity = Volume of the inner box - Volume of the wood
Capacity = 960 cubic cm - 720 cubic cm
Capacity = 240 cubic cm
The correct answer is option C) 960 cubic cm.
Volume of the inner box:
The inner dimensions of the box are given as 12cm, 10cm, and 8cm. We can calculate the volume of the inner box using the formula:
Volume = length x width x height
Volume = 12cm x 10cm x 8cm
Volume = 960 cubic cm
Volume of the wood:
The thickness of the wood is given as 1cm. Since the wood is present on all six faces of the inner box, we need to subtract the volume of the wood from the volume of the inner box.
The outer dimensions of the box can be calculated by adding twice the thickness of the wood to each dimension of the inner box.
Outer length = 12cm + 2(1cm) = 14cm
Outer width = 10cm + 2(1cm) = 12cm
Outer height = 8cm + 2(1cm) = 10cm
Now, we can calculate the volume of the outer box using the formula:
Volume = length x width x height
Volume = 14cm x 12cm x 10cm
Volume = 1680 cubic cm
To find the volume of the wood, we subtract the volume of the inner box from the volume of the outer box:
Volume of the wood = Volume of the outer box - Volume of the inner box
Volume of the wood = 1680 cubic cm - 960 cubic cm
Volume of the wood = 720 cubic cm
Therefore, the capacity of the box is the volume of the inner box minus the volume of the wood:
Capacity = Volume of the inner box - Volume of the wood
Capacity = 960 cubic cm - 720 cubic cm
Capacity = 240 cubic cm
The correct answer is option C) 960 cubic cm.
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The inner dimensions of a closed box are 12cm, 10cm and 8cm. If the thickness of the wood is 1cm, then the capacity f the box isa)1920 cu.cmb)480 cu.cmc)960 cu.cmd)1200 cu.cmCorrect answer is option 'C'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The inner dimensions of a closed box are 12cm, 10cm and 8cm. If the thickness of the wood is 1cm, then the capacity f the box isa)1920 cu.cmb)480 cu.cmc)960 cu.cmd)1200 cu.cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The inner dimensions of a closed box are 12cm, 10cm and 8cm. If the thickness of the wood is 1cm, then the capacity f the box isa)1920 cu.cmb)480 cu.cmc)960 cu.cmd)1200 cu.cmCorrect answer is option 'C'. Can you explain this answer?.
The inner dimensions of a closed box are 12cm, 10cm and 8cm. If the thickness of the wood is 1cm, then the capacity f the box isa)1920 cu.cmb)480 cu.cmc)960 cu.cmd)1200 cu.cmCorrect answer is option 'C'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The inner dimensions of a closed box are 12cm, 10cm and 8cm. If the thickness of the wood is 1cm, then the capacity f the box isa)1920 cu.cmb)480 cu.cmc)960 cu.cmd)1200 cu.cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The inner dimensions of a closed box are 12cm, 10cm and 8cm. If the thickness of the wood is 1cm, then the capacity f the box isa)1920 cu.cmb)480 cu.cmc)960 cu.cmd)1200 cu.cmCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The inner dimensions of a closed box are 12cm, 10cm and 8cm. If the thickness of the wood is 1cm, then the capacity f the box isa)1920 cu.cmb)480 cu.cmc)960 cu.cmd)1200 cu.cmCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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The inner dimensions of a closed box are 12cm, 10cm and 8cm. If the thickness of the wood is 1cm, then the capacity f the box isa)1920 cu.cmb)480 cu.cmc)960 cu.cmd)1200 cu.cmCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The inner dimensions of a closed box are 12cm, 10cm and 8cm. If the thickness of the wood is 1cm, then the capacity f the box isa)1920 cu.cmb)480 cu.cmc)960 cu.cmd)1200 cu.cmCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The inner dimensions of a closed box are 12cm, 10cm and 8cm. If the thickness of the wood is 1cm, then the capacity f the box isa)1920 cu.cmb)480 cu.cmc)960 cu.cmd)1200 cu.cmCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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