Lesson: Chapter - 7
Key Formulas
Length of a Diagonal of a Cube
d v3s2 = sv3, wheres is the length of one edge of
the cube.
Length of a Diagonal of a Rectangular Solid
d=
,
wherel is the length,
w is the width, and
h is the height of the rectangular
solid.
Surface Area of a Cube
Surface Area =6s2, where
s is the length of one edge.
Surface Area of a Rectangular Solid
Surface Area = 2lw + 2lh + 2wh,
where l is the length, w is the width, and h is the height.
Surface Area of a Cylinder
Surface Area = 2pr2 + 2prh,
where r is the radius and h is the height.
Surface Area of a Sphere
Surface Area = 4pr2,
where r is the radius.
Lateral Surface Area of a Cone
Lateral Surface Area = prl, where
r is the radius of the base and l is the cone’s lateral height.
Total Surface Area of a Cone
Surface Area = pr2 + prl, where r is the radius
of the base, and l is the cone’s lateral height.
Volume of a Cube
Volume =s3, where s
is the length of one edge.
Volume of a Rectangular Solid
Volume =lwh, where l is the
length, w is the width, and h is the height.
Volume of a Prism
Volume =Bh, where
B is the area of the base, and h
is the height.
Volume of a Cylinder
Volume = pr2h,
where r is the radius of the circular base and h is the cylinder’s
height.
Volume of a Cone
Volume = 1/3 pr2h, where r
is the radius and h is the height.
Volume of a Pyramid
Volume =1/3Bh,
where B is the area of the base and h is the height.
Volume of a Sphere
Volume =4/3 pr3, where r is the radius.
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