Q4 MATHEMATICS 6�WEEK 1

Relationship of Volume between Rectangular

Drill: A. Perform the indicated operation:

A. 35 x 25

B. 125 x 2.5

C. 30 ½ x 25

D. 450 ÷ 20

E. 50 ½ x 15

B. Find the surface area of the ff.

1. e=25cm

2. l=16cm, w= 9cm, h=8cm

3. d=14cm, h=23cm

Review: A. Identify the figure below:

B.Solve each situation.

1. a rectangular box has a length of 24 inches, a width of 18inches, a width of 18 inches and a height of 30 inches. What is the surface area?

2. A sphere has a radius of 23cm. What is the surface area?

Have you ever gone to a family outing to a resort? There are many different kinds of swimming pool, isn’t it? There are swimming pools for kids and for adults. There is also Jacuzzi. If you will be asked how much water is placed in the swimming pool, how will you do it?

The volume of prism is the amount of space inside the prism.

Volume is measured in cubic units, which means it tells you how many cubes of a given size it takes to fill the prism

To find the volume (V) of a prism, multiply the number of cubic units needed to cover the base (B) by the number of layers.

Volume of prism= is the product of the base area (B) and the height (h).

V=Bxh

Since B=lxw, then V=lxwxh

Volume of pyramid is the amount of space inside the pyramid.

Volume is measured in cubic units, which means it tells us how many cubes of a given size it takes to fill the pyramid.

It takes three pyramids of popcorn to fill the rectangular box.

The pyramid and the rectangular prism have the same base and height.

Complete the statement;

Volume of the pyramid= ______x volume of rectangular prism.

For a rectangular prism, V=lxwxh

So for pyramid, V= _____ lxwxh= lxwxh/?

The volume of a pyramid is 1/3 the volume of a prism w/ same base area (B) and height (h).

Find the volume of the ff.

4cm

5cm

6cm

The volume of a prism is given by the formula V = Bh�where B is the area of the base and h is the height.

The volume of a pyramid is given by the formula V = 1/3 Bh

where B is the area of the base and h is the height

Find the volume of the ff. figures. Write the formula used.

Compare the formula used in solving the volume of the ff. figures

DAY 2

Drill: Find the surface area of the ff.

Review:

Volume of the pyramid= ______x volume of rectangular prism.

For a rectangular prism, V=lxwxh

So for pyramid, V= _____ lxwxh= lxwxh/?

Say something about the figures. (Cylinder, cone)

Group activity:

Materials: a cylinder which is open at one end and a cone that is open at the base

(note: the cylinder and the cone must have

congruent bases and altitude), sand, worksheet

Procedure:

Let the children fill the cone with sand then ask them to guess how many “conefuls” of sand it would take to completely fill the cylinder. Let them check their guesses by filling the cylinder with sand from the cone.

Questions:

1) How many “conefuls” of sand did you put to fill up the cylinder?

2) Was your guess correct? Why?

3) What mathematical formula can you derive for the volume of a cone?

Note: Volume of the cylinder is three times the volume of the cone or the volume of the cone is that of the cylinder.

5) How do we write the formula for the volume of a cone?

4) What is the formula used to find the volume of a cylinder?

V = B x h where

B = area of the base

B = πr², π = 3.14 or

V_cone =

Bh where B = are of the base

V =

(196.25 cm³)

V = 65.42 cm³ (the answer is rounded off to the

nearest hundredths)

d = 5 cm

h = 10 cm

Group Activity:

1.Let each group of pupils construct a cone and a cylinder with the same diameter and height.

2. provide rice or mongo seeds

3. Let the pupils fill the cylinder with rice or mongo seeds using the cone.

4. how many cones of rice or mongo seeds can fit inside the cylinder?

5. how do we find the volume of a cone?

The Volume of a Cylinder is given by the formula V = πr² h while the Volume of a Cone is V = 1/3 πr² h

Find the volume of the ff.: