volume of solid figure and rectangular prism

1. Good Morning!
Monday, April 5, 2021
Math

2. REVIEW: Recall the formulas
P = 𝑠1 + 𝑠2 +
𝑠3
A = S x
S or S2
A =
𝑏1 + 𝑏2,
𝟐
𝒙 𝒉
P = a +
b + c +
d
𝐀 =
𝐛 𝐱 𝐡
𝟐
P = 2 x (L +
W)
A = L x
W

3. REVIEW: Recall the formulas
triangle
P = 𝑠1 + 𝑠2 +
𝑠3
square
A = S x
S or S
2
trapezoid
A =
𝑏1 + 𝑏2,
𝟐
𝒙 𝒉
parallelogra
m
P = a +
b + c +
d
triangle
𝐀 =
𝐛 𝐱 𝐡
𝟐
rectangle
P = 2 x (L +
W)
rectangl
e
A = L x
W

5. What are Dimensions?
Dimensions in mathematics are the measure of the size or distance of an
object or region or space in one direction. In simpler terms, it is the
measurement of the length, width, and height of anything.
Any object or surroundings or space can be
One-dimensional (or 1D)
Two-dimensional ( or 2D)
Three-dimensional (or 3D)

6. Zero Dimensional
A point is a zero-dimensional object as it has no length, width or
height. It has no size. It tells about the location only.

7. One Dimensional
A line segment drawn on a surface is a one-dimensional object, as
it has only length and no width.

8. Two Dimensional
The 2-dimensional shapes or objects in geometry are flat plane figures that
have two dimensions – length and width. Two-dimensional or 2-D shapes do
not have any thickness and can be measured in only two faces.
A square, circle, rectangle, and triangle are examples of two-dimensional
objects. We can classify figures on the basis of the dimensions they have

9. Three dimensional
In geometry, three-dimensional shapes are solid figures or objects or
shapes that have three dimensions – length, width, and height.
Unlike two-dimensional shapes, three-dimensional shapes have thickness
or depth.
A cube and cuboid are examples of three-dimensional objects, as they
have length, width, and height.
Take for example a cuboid,

10. Attributes of
Three dimensional figure
The point (corner)of
intersection of 3 more
edges of a figure.
The flat surface
of a 3D figure
A line segment
where two faces
meet on a figure.

11. Three Dimensional Figures:

12. Let’s understand more

13. Is the amount of space an object occupies. The
space within a container is also know as its capacity.
A B

14. To get the volume of a solid figure, find out how
many units cubes will make up a solid.
The volume of an object
is measured in cubic units
(cu) such as cubic
centimeters, cubic inch,
cubic foot, cubic meter,
etc
A cube is a figure with
12 congruent edges,
8 corners or vertices,
and enclosed by
6 square faces.

15. If you put together 30 cubes, a rectangular solid
figure is formed with a volume of 30 cubic units.
There are 5 x 3 or
15 cubes in one
layer. There two
layers, so the
volume is 2 x 15
or 30 cubic units.

16. A rectangular prism is a figure with 12 edges and
8 corners or vertices. 6 rectangular faces also
encloses it.
Volume (V) = Length (L) x Width (W) x Height (H)

17. V = 32 cu units
Formula: (V = L x W x H)
a.
V = 4 x 2 x 4
H = 4
L = 4
W = 2

18. Formula: (V = L x W x H)
b.
V = 54 cu units
H = 3
L = 6
W = 3
V = 6 x 3 x 3

19. V = 60 cu units
Formula: (V = L x W x H)
c.
H = 5
L = 3
W = 4
V = 3 x 4 x 5

20. V = 120 𝑖𝑛3
Formula: (V = L x W x H)
f.
V = 10 x 3 x 4

21. Irregular Prism
a.

22. Break it into multiple rectangular prisms

23. Break it into multiple rectangular prisms

24. Break it into multiple rectangular prisms

25. Solve:
If a rectangular prism is 6 cm long, 4 cm wide,
and 10 cm tall, what is its volume?
V = L x W x H
V = 6cm x 4 cm x 10 cm
V = 120 𝑐𝑚3

26. Offline Activity
Week 4: 04/05/21 Offline Activity 4.4 – Volume of Rectangular
Prism
10 x 2 (2 points each - Show solution) = 20 points
In your book, answer the following:
a. PRACTICE on page 359 (A and B)
Take a clear picture of your answer and send it in the comment
section.
To be submitted on or before Monday, 04/12/21.
Thank you!
Additional Learning Resources:
https://youtu.be/TI-HJHUsIwg