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A solid cuboid is formed by joining 24 cubes of 1 cm side. If perimeter of the base of the cuboid is 12 cm find the height of the cuboid A)1cm B)2cm C)3cm D)4cm The answer is option C explain?
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A solid cuboid is formed by joining 24 cubes of 1 cm side. If perimete...
- Given information:
A solid cuboid is formed by joining 24 cubes of 1 cm side.
Perimeter of the base of the cuboid is 12 cm.
- Calculating the dimensions of the base:
Since 24 cubes are joined to form the cuboid, the base of the cuboid is a rectangle made up of 6 cubes on each side.
Let the length of the base be x and the width be y.
Given that the perimeter of the base is 12 cm, we have 2(x + y) = 12.
Therefore, x + y = 6.
- Calculating the height of the cuboid:
The height of the cuboid is the height of one cube, which is 1 cm.
- Checking the dimensions:
The dimensions of the base are x = 3 cm and y = 3 cm, which satisfy x + y = 6.
Therefore, the dimensions of the base are correct.
- Calculating the volume of the cuboid:
Volume of a cuboid = Length × Width × Height
Volume = 3 cm × 3 cm × 1 cm
Volume = 9 cm³
- Conclusion:
The height of the cuboid is 1 cm. Therefore, option A) 1cm is the correct answer.
A solid cuboid is formed by joining 24 cubes of 1 cm side.
Perimeter of the base of the cuboid is 12 cm.
- Calculating the dimensions of the base:
Since 24 cubes are joined to form the cuboid, the base of the cuboid is a rectangle made up of 6 cubes on each side.
Let the length of the base be x and the width be y.
Given that the perimeter of the base is 12 cm, we have 2(x + y) = 12.
Therefore, x + y = 6.
- Calculating the height of the cuboid:
The height of the cuboid is the height of one cube, which is 1 cm.
- Checking the dimensions:
The dimensions of the base are x = 3 cm and y = 3 cm, which satisfy x + y = 6.
Therefore, the dimensions of the base are correct.
- Calculating the volume of the cuboid:
Volume of a cuboid = Length × Width × Height
Volume = 3 cm × 3 cm × 1 cm
Volume = 9 cm³
- Conclusion:
The height of the cuboid is 1 cm. Therefore, option A) 1cm is the correct answer.
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A solid cuboid is formed by joining 24 cubes of 1 cm side. If perimeter of the base of the cuboid is 12 cm find the height of the cuboid A)1cm B)2cm C)3cm D)4cm The answer is option C explain?
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