This document provides formulas and examples for calculating the volume of various 3D shapes, including cubes, rectangular prisms, triangular prisms, cylinders, cones, and spheres. It defines volume as the measure of space an object takes up and explains it is calculated by the number of unit cubes needed to fill the shape. Formulas presented include volume equals side cubed for cubes, length times width times height for rectangular prisms, half times base times height times length for triangular prisms, pi times radius squared times height for cylinders, one-third pi times radius squared times height for cones, and one-third pi times radius cubed for spheres. Examples demonstrate using the formulas to find specific volumes.

1. VOLUME OF SOLID
FIGURES

2.  Volume
 Solid
figure
 Formula

3. 3
What is Volume?
The volume of a solid is the
measure of how much space an
object takes up. It is measured
by the number of unit cubes it
takes to fill up the solid.

4. 3-Dimensional Object

5. Some examples of 3-Dimensional Objects
Cube
Cube
Cube
Rectangular
Prism
Sphere
Triangular
Prism

6. Finding the Volume of Cube
5cm
V= S3
= 53 (5x5x5)
= 125 cm3

7. Finding the Volume of Rectangular Prism
9mm
V= L x W x H
= 9 x 4 x 5
= 180 mm3
4mm
5mm

8. Finding the Volume of Triangular Prism
= x 8 x 12 x 21
= x 96 x 21
12cm
8cm
21cm
x 2,016
=
V= B x H x L
1
2
1
2
1
2
= 1
2
1,008 cm3

9. Finding the Volume of Cylinder
= 3.14 x 32 x 7
= 3.14 x 9 x 7
7in
197.82 in3
=
3in
V= r2h
= 3.14

10. Finding the Volume of Cone
= x 3.14 x 42 x 9
= x 3.14 x 16 x 9
4in
150.72 in3
=
9in
= 3.14
V= r2h
1
3
1
3
1
3
1x 452.16
3
=

11. Finding the Volume of Sphere
= x 3.14 x 33
= x 3.14 x 27
113.04 dm3
=
3dm
= 3.14 V= r3
4
3
4
3
4
3
4 x 3.14 x 27
3
=

12. Thank you
for
watching.