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Volume Surface-Area- Facts & Formulae
>> Math Facts & Formula - Index Page
>> Learning Tools - Index Page
Cuboid:
Let length = l, breadth = b & height = h units Then,
Volume = (l x b x h) cu units
Surface Area = 2 (lb + bh + hl) sq. units
Diagonal = √
l
^{ 2}
+b
^{2}
+h
^{2}
units
Cube:
Let each edge of a cube be of length a. Then,
Volume = a
^{ 3}
cu units
Surface Area = 6a
^{ 2}
sq. units
Diagonal = √
3
x a units
Cylinder:
Let radius of base = r & height (or length) = h. Then,
Volume = (∏r
^{ 2}
h) cu. units
Curved Surface Area = (2∏rh) sq. units
Total Surface Area = 2∏r(r + h) sq. units
Cone:
Let radius of base = r & height = h. Then,
Slant height, l = √
h
^{ 2}
+r
^{ 2}
units
Volume = (⅓∏r
^{ 2}
h) cu. units
Curved Surface Area = (∏rl) sq. units
Total Surface Area = ∏r(r + l) sq. units
Sphere:
Let the radius of the sphere be r. Then,
Volume = (4/3 ∏r
^{ 3}
) cu. units
Surface Area = (4∏r
^{ 2}
) sq. units
Hemi-sphere:
Let the radius of the sphere be r. Then,
Volume = (2/3 ∏r
^{ 3}
) cu. units
Curved Surface Area = (2∏r
^{ 2}
) sq. units
Total Surface Area = (3∏r
^{ 2}
) sq. units
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