Arithmatical - Volume and Surface Areas
1. | Cuboid : Let length = l, breadth = b and height = h units. Then 1. Volume = (l x b x h) cubic units. 2. Surface area = 2(lb + bh + lh) sq. units. 3. Diagonal = √l2 + b2 + h2 units. |
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2. | Cube : Let each edge of a cube be of length a. Then, 1. Volume = a3 cubic units. 2. Surface area = 6a2 sq. units. 3. Diagonal =√ 3a units. |
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3. | Cylinder : Let radius of base = r and Height (or length) = h. Then, 1. Volume = (∏r2h) cubic units. 2. Curved surface area = (2∏rh) sq. units. 3. Total surface area = 2∏r(h + r) sq. units. |
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4. | Sphere : Let the radius of the sphere be r. Then, 1. Volume = (4 / 3 ∏r3) cubic units. 2. Surface area = (4∏r2) sq. units. |
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5. | Hemisphere : Let the radius of a hemisphere be r. Then, 1. Volume = (2 / 3 ∏r3) cubic units. 2. Curved surface area = (2∏r2) sq. units. 3. Total surface area = 3∏r2 sq. units. |
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