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A wodden box with dimension 36cm × 24 cm× 12 cm is 2 cm thick .find the weight of the wood if density of the wood is 100 gm/ meter cube?
Most Upvoted Answer
A wodden box with dimension 36cm × 24 cm× 12 cm is 2 cm thick .find th...
2(36×12+24×12)+36×24
then multiply it by 4 than convert cm square to m square than divide it by 100.
then multiply it by 4 than convert cm square to m square than divide it by 100.
Community Answer
A wodden box with dimension 36cm × 24 cm× 12 cm is 2 cm thick .find th...
Given:
- Dimensions of the wooden box: 36 cm × 24 cm × 12 cm
- Thickness of the wooden box: 2 cm
- Density of the wood: 100 g/m³
To Find:
The weight of the wood used in the box.
Formula:
Volume of the wooden box = (Length - 2 × Thickness) × (Width - 2 × Thickness) × (Height - 2 × Thickness)
Step-by-Step Solution:
Step 1: Convert the dimensions and thickness to meters:
Length = 36 cm = 0.36 m
Width = 24 cm = 0.24 m
Height = 12 cm = 0.12 m
Thickness = 2 cm = 0.02 m
Step 2: Calculate the volume of the wooden box:
Volume of the wooden box = (0.36 - 2 × 0.02) × (0.24 - 2 × 0.02) × (0.12 - 2 × 0.02)
= 0.32 × 0.20 × 0.08
= 0.00512 m³
Step 3: Calculate the weight of the wood:
Weight of the wood = Volume × Density
= 0.00512 m³ × 100 g/m³
= 0.512 kg
Therefore, the weight of the wood used in the box is 0.512 kg.
Summary:
The weight of the wood used in the wooden box with dimensions 36 cm × 24 cm × 12 cm and a thickness of 2 cm, given a wood density of 100 g/m³, is 0.512 kg.
- Dimensions of the wooden box: 36 cm × 24 cm × 12 cm
- Thickness of the wooden box: 2 cm
- Density of the wood: 100 g/m³
To Find:
The weight of the wood used in the box.
Formula:
Volume of the wooden box = (Length - 2 × Thickness) × (Width - 2 × Thickness) × (Height - 2 × Thickness)
Step-by-Step Solution:
Step 1: Convert the dimensions and thickness to meters:
Length = 36 cm = 0.36 m
Width = 24 cm = 0.24 m
Height = 12 cm = 0.12 m
Thickness = 2 cm = 0.02 m
Step 2: Calculate the volume of the wooden box:
Volume of the wooden box = (0.36 - 2 × 0.02) × (0.24 - 2 × 0.02) × (0.12 - 2 × 0.02)
= 0.32 × 0.20 × 0.08
= 0.00512 m³
Step 3: Calculate the weight of the wood:
Weight of the wood = Volume × Density
= 0.00512 m³ × 100 g/m³
= 0.512 kg
Therefore, the weight of the wood used in the box is 0.512 kg.
Summary:
The weight of the wood used in the wooden box with dimensions 36 cm × 24 cm × 12 cm and a thickness of 2 cm, given a wood density of 100 g/m³, is 0.512 kg.
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A wodden box with dimension 36cm × 24 cm× 12 cm is 2 cm thick .find the weight of the wood if density of the wood is 100 gm/ meter cube?
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A wodden box with dimension 36cm × 24 cm× 12 cm is 2 cm thick .find the weight of the wood if density of the wood is 100 gm/ meter cube? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A wodden box with dimension 36cm × 24 cm× 12 cm is 2 cm thick .find the weight of the wood if density of the wood is 100 gm/ meter cube? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wodden box with dimension 36cm × 24 cm× 12 cm is 2 cm thick .find the weight of the wood if density of the wood is 100 gm/ meter cube?.
A wodden box with dimension 36cm × 24 cm× 12 cm is 2 cm thick .find the weight of the wood if density of the wood is 100 gm/ meter cube? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A wodden box with dimension 36cm × 24 cm× 12 cm is 2 cm thick .find the weight of the wood if density of the wood is 100 gm/ meter cube? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wodden box with dimension 36cm × 24 cm× 12 cm is 2 cm thick .find the weight of the wood if density of the wood is 100 gm/ meter cube?.
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