volume dan luas

1. Volume dan Luas
Bagun Ruang

2. Apresepsi
Masih ingatkah kalian dengan
macam – macam jenis bangun
datar ?

3. Apresepsi
Persegi
Persegi Panjang
Segitiga
Trapesium
Jajar genjang
Belah ketupat
Layang – laying
Lingkaran

4. Bangung Ruang Sisi
Datar
Bangun Ruang Sisi
Lengkung
Jenis
Bangun
Ruang

5. Bangun Ruang Sisi
Datar
Kubus
Balok
Prisma
Limas
Berikan Contoh Benda di
sekitar kalian

6. Bangun Ruang
Sisi Lengkung
Tabung
Krucut
Bola
Berikan Contoh Benda di
sekitar kalian
ANSWER KEY

7. Bangung Ruang yang tersusun dai 6 buah
persegi yang berhimpitan di setiap sisinya
Kubus
Kubus & Balok

8. Unsur Kubus
• Memiliki 6 sisi yang sama
• Memiliki 12 Rusuk yang sama
Panjang
• Memiliki 8 titik sudut
• Memiliki 12 Diagonal Bidang
• Memiliki 4 diagonal Ruang
• Memiliki 6 Bidang diagonal

9. Jaring – jaring kubus &
luas kubus Luas
Kubus
Luas = 6 x Luas alas
Luas = 6 x S x S
Luas = 6 x S
2

10. Contoh Soal :
Diberikan kubus degan
Panjang rusuk 4 cm,
tentukan luas permukaan
kubus tersebut
Penyelesaian :
L = 6 x s
L = 6 x 4
L = 6 x 16
L = 96 cm
2
2
2

11. How about if an object
is a rectangular prism
and has a specific
thickness?
Volume = ?
7 in
5 in
2 in
1 unit cube = 1 in
3
There are 70 unit cubes.
Therefore, the box's volume is 70 in .
3

12. How about if an object
is a rectangular prism
and has a specific
thickness?
Volume = ?
7 in
5 in
2 in
1 unit cube = 1 in
3
7 unit
cubes
5 unit cubes
2 layers
7 × 5 = 35 × 2 (layers)
70 unit cubes

13. width (w)
2 in
length (l)
5 in
height (h)
7 in
Volume of a Rectangular
Prism
Volume of a rectangular
prism = length × width ×
height
V = 5 in × 2 in × 7 in
V = 70 in
3
V = l × w × h

14. Try this!
Find the volume of each
rectangular prism.
Can you show the volume
of the fish tank using unit
cubes?
4 in
15 in
5 in
Volume = ?

15. 4 in
15 in
5 in
ANSWER KEY
Try this!
300 unit cubes
Volume = 300 in3
Volume = 15 in × 4 in × 5 in = 300 in3

16. Volume of Composite Prisms
What is the volume of the
composite prism below?
• any prism made up of two or
more prisms
• find its volume by adding all
the volumes of rectangular
prisms
Composite Prism
2 cm
2 cm
3 cm
10 cm
10 cm
3 cm

17. 2 cm
2 cm
3 cm
10 cm
10 cm 3 cm
−
= 7cm
10 cm
3 cm
What is the volume of
the composite prism
below?
1ST PRISM
2ND
PRISM
Volume of 1st Prism:
V = l × w × h
V = 10 cm × 2 cm × 3 cm = 60 cm
3
1
Volume of 2nd Prism:
V = l × w × h
V = 7 cm × 2 cm × 3 cm = 42 cm3
Total Volume = 60 cm + 42 cm
3
3
Total Volume = 102 cm
3
1
2
2
Total Volume = V + V
2
1

18. A Recap
• a composite prism is made up of two
or more prisms
• one can find its volume by adding all
the volumes of its component prism
Volume of
Composite Prism
• amount of space an object occupies
• one can determine an object's volume
by counting the number of unit cubes
• volume of a rectangular prism is given
by V = l × w × h
Volume

19. Mastering Composite Prisms
Assignment
Find the volume of
the bench with the
given dimensions.
1.1 m
1
m
0.2 m
0.6 m
1 m
0.5 m

20. Resource Page
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