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all formulas about 3D Solid Geometry
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Cuboid : It is a rectangular solid.
Lateral Surface Area = 2(l+b)h
Total Surface Area = 2(lb + bh + lh)
Volume = lbh
Mean diagonal = √
Explanation:
Lateral surface area
= Sum of areas of lateral surfaces i.e. excluding the top and bottom of the box (cuboid)
= Area of (ABDC + BDHF + FHGE + GEAC)
= (lh + bh + lh + bh)
= 2lh + 2bh = 2h(l+b)
Total surface area
= Sum of areas of all sides including the areas of top and bottom portions
= Lateral surface area + Areas of (top +Bottom)
= LSA + Areas of (ABFE + CDHF)
= LSA + lb + lb = 2lh + 2bh + 2bl = 2(lb + bh + lh)
Similarly, calculate the areas of other figures like cube, etc.
Sphere
r
r
h
Cylinder:
V = πr²h
A = 2πr² + 2πrh
3D/Solid Geometry
CONCENTRATE ON BASICS AND LEARN HOW TO CALCULATE AREA AND VOLUME
RATHER THAN MEMORIZING THEM
Cuboid
Cylinder
Sphere:
V = 4
3πr³
A = 4πr²
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