This document discusses the formulas for calculating the volumes of different geometric solids. It provides the formulas and notations for cube (Volume = S3), prism (Volume = Bh), pyramid (Volume = 1/3 Bh), cylinder (Volume = πr2h), cone (Volume = 1/3 πr2h), and sphere (Volume = 4/3 πr3). It also includes examples of volume calculations for each solid. The key information covered includes formulas with notations for finding the volumes of various solids like cubes, prisms, pyramids, cylinders, cones and spheres.

1. VOLUME
OF
SOLIDS

2. VOLUME
• - is the amount of
space enclosed in a
three dimensional
figure.

3. Formula in Solving
Different Solids
NOTATIONS:
S- edge
B- Area of the base
h- Height
r- radius

4. CUBE
Volume = S3
S
S
S

5. Examples
1. Find the volume of a cube
with an edge of 7 units?
Ans. 343 cu. units
2. How many boxes which are
in cubic form can be stacked
on a 9x9x12m warehouse if
each box measures 3m on
edges?
Ans. 108 boxes

6. PRISMS
Volume = Bh
h
B
h
B

7. Example
1. Find the volume of a
rectangular box given the ffg
dimension: l = 5.3 cm, w
= 3.2 cm, h = 2.8 cm.
Ans. 47.48 cm3
2. Find the volume of a
triangular box, with base =
7.4 cm, altitude = 8.3 cm and
height = 4cm.
Ans. 122.84 cm3

8. PYRAMID
Volume = 1/3 Bh
h
B

9. Example
1. Find the volume of a
pyramid whose altitude is
15cm and whose
rectangular base has a
length of 28 cm and a width
of 11 cm.
Ans. 154 cm3

10. Cylinder
Volume= πr2h
h
r

11. Example
1. A milk can has a
radius of 4 cm and a
height of 9 cm. find
its volume.
Ans. 452.16 cm3

12. CONE
Volume= 1/3 πr2h
h
r

13. Example
1. Find the volume
of a cone whose
base has a radius of
5.2 cm and whose
height of 9.6 cm.
Ans. 271.70 cm3

14. SPHERE
Volume= 4/3 πr3
r

15. Example
1. Find the volume
of a Baseball whose
radius is 1.4 cm. Ans.
11.49 cm3

16. End of the show
GodBless! :D
Prepared by:
Timothy James L.
Mercado