Math 6 - FINDING THE VOLUME OF SOLID FIGURES.ppsx

Finding the Volume of Solid Figures - Cylinder, Rectangular Prism, Cube

1. FINDING THE VOLUME OF

2. LEARNING TARGET:
a. determine the relationship of the volume
between a rectangular prism & a cylinder; a
cylinder & a cone, a cylinder & a sphere;
b. derive the formula for finding the volume
of solid figures; and
c. solve routine and non-routine problems
involving volume of solid figures.

3. is the amount of space occupied
by a three-dimensional object as
measured by cubic units.

4. Anna and Elsa cleaned their swimming pool that
measures 12 m by 8 m by 9 m. How much water
can fill the pool if it is ¾ full?Volume of a
Rectangular Prism
= Length x Width x
Height
V = L x W x H
= 12 m x 8 m x 9 m
V = 864 m
3
Find the ¾ full of the
volume.
V = ¾ x 864 m
3
V = 648 m
3The swimming pool can be
filled with 648 m
3
of
water when it is ¾ full.

5. A cylindrical tank has a radius of 3 meters
and height of 4 meters. How many cubic
meters of water can the tank carry?Volume of a
Cylinder
=
ꙥr
2
h
V = 3.14 x 3
2
x 4
= 3.14 x 9 x 4
V = 113.04 m
3
The tank can carry 113.04
m
3
of water.

6. Volume of a
Cube
= side x side
x side
V = 3 x 3 x 3
V = 27 cubic
units
3 units