If The Area Of Three Adjacent Faces


If The Area Of Three Adjacent Faces

3.Answer the following questions carefully.1. Find the volume of a cube if one of its faces has an area of 9 cm².​

Daftar Isi

1. 3.Answer the following questions carefully.1. Find the volume of a cube if one of its faces has an area of 9 cm².​


Penjelasan dengan langkah-langkah:

arti dari soal:

1. Carilah volume sebuah kubus jika salah satu mukanya memiliki luas 9 cm².

jawaban:

luas salah satu sisi kubus = 9 cm²

panjang sisi kubus

= √luas sisi

= √9

= 3 cm

volume kubus

= s × s × s

= 3 × 3 × 3

= 9 × 3

= 27 cm³

kesimpulan:

jadi volume kubus tersebut adalah 27 cm³

Jawaban

27 cm³

Penjelasan dengan langkah-langkah:

volume =S³

√9

=3

V=3×3×3

=27


2. Terjemahan dari the large urban area known as Jabotabek has grown within the adjacent province of west java


wilayah kota yang besar yang seringdisebut jabotabek telah berkembang berdekatan dari provinsi jawa barat


3. The base and lateral faces of a pyramid are congruent. Which of the following statements are true? Select all that apply. The base of this pyramid is a square. This pyramid has three lateral faces. The lateral faces are equilateral triangles. This pyramid is a tetrahedron.


Jawaban:

Terjemahanya Adalah

Wajah dasar dan lateral piramida kongruen. Manakah dari pernyataan berikut ini yang benar? Pilih semua yang berlaku. Basis piramida ini berbentuk bujur sangkar. Piramida ini memiliki tiga wajah lateral. Wajah lateral adalah segitiga sama sisi. Piramida ini adalah tetrahedron.

Penjelasan:

Selamat Belajar


4. artikan ke b indo if the area of small square is 1 cm 2,then the area of shaded region is...


Jika luas persegi kecil adalah 1 cm 2, maka daerah yang diarsir adalah....

Semoga Membantu :)jika luas persegi kecil adalah 1 cm 2, maka daerah yang diarsir adalah

5. The Length of a rectangular is three time the width of it.The area of the garden is 48m square.find the dimension of the garden


Jawab:

Penjelasan dengan langkah-langkah:

Misalkan Panjang = P dan Lebar = L

P = 3L

Area = 48 m²

Area = P×L = (3L)(L) = 3L²

⇒ 3L² = 48

⇒ L² = 16

⇒ L = 4 m (Tidak mungkin lebar negatif)

Diperoleh P = 3×4 = 12 m

Maka, dimensi kebun: Panjang = 12 m dan Lebar = 4 m


6. a square cardboard of side 1.2 m has a 10 cm wide border round the exterior of three of its sides. find the area of the border!​


Jawab:

0.38cm2

Penjelasan dengan langkah-langkah:

(Ada 3 sisi)

Area rectangle 1 : 1.4 x 0.1 = 0.14

Area rectangle 2 : 1.2 x 0.1 = 0.12

Area rectangle 3 : 1.2 x 0.1 = 0.12

Jadi, hasilnya : 0.14+0.12+0.12 = 0.38


7. a netal cube has a volume of 125m3. it is to be painted on all it faces. find the total area of the faces that will be coated with paint.


V = l^3
125 = l^3
5 m = length

surface area = 6l^2
S.A = 6. 5^2
s.a = 6×25
s.a = 150 m^2

8. A cube has a total surface area of the six faces equal to 150 square feet. What is the volume of the cube? Tolong dijawab ya kak....


Penjelasan dengan langkah-langkah:

Total Surface area of a cube is made by 6 area of square.

We can find side of cube ( s ) with equation :

Total Surface area = 6 Square area

150ft² = 6 s²

150ft² / 6 = s²

25ft² = s²

5ft = s

Find the volume ( V ) :

Vcube = s³

Vcube = (5ft)³

Vcube = 125 ft³

∴ The volume of cube is 125 ft³


9. the area of a rectangle is equal to the area of a square whose sides have length 8 cm. if the width of the rectangle = 4cm , then find the length of the rectangle​


Jawaban:

40 cm

Penjelasan dengan langkah-langkah:

sides have length 8 cm : panjang sisi 8 cm

width rectangle = 4 cm : lebar persegi panjang itu 4 cm

L = p × l ➡️ Bahasa Indonesia

l × w = l × l

l × 4 = 8 × 8

4l = 64

l = 64/4

l = 16 cm

Find the length : 2(l + w)

= 2(16 + 4)

= 2(20)

= 40 cm


10. If the length of r is 40 cm. What is the area of the circle?tolong bantu ​


Penyelesaian

Diketahui

jari jari (r) = 40 cm

[tex]~[/tex]

Ditanya

Luas = ... cm²

[tex]~[/tex]

Jawab

L = πr²

L = 3,14 × 40²

L = 3,14 × 1.600

L = 314 × 16

L = 5.024 cm²

[tex]~[/tex]

Kesimpulan

Jadi, luas dari lingkaran tersebut adalah 5.024 cm²

[tex]~[/tex]

Detail JawabanMapel: MatematikaKelas: 6 SDMateri: Bab 4 - Luas dan VolumeKode Soal: 2Kode Kategorisasi: 6.2.4

11. find the area of the shaded partarea of figure​


[tex] \frac{1}{4} \times \frac{22}{7} \times 14 \times 14 + 2 \times \frac{1}{2} \times \frac{22}{7} \times 7 \times 7 \\ \\ 154 + 154 \\ \\ 308 \: {cm}^{2} [/tex]


12. I am thinking of a 3-dimensional shape.It has 5 faces,9 edges and 6 verticles.2 faces are triangle and 3 faces are rectangleWhat is the the name of the shape based on the characteristics?


》Give a Name of A Dimentional Shape


Clues :
- 3 dimentional shape
- 5 faces (2 faces are triangle and others are rectangle)
- 9 edges
- 6 verticles


Let's descripting them.

What about triangle prism?

Triangle prism is a 3-dimentional shape with 5 faces that 2 are triangle and others are rectangle, 9 edges, and 6 verticles.

The picture has been attached.

13. If the volume of the cube is equal to the surface area of ​​the cube, the length of the edge of the cube is ... cm *


Jawaban:

6 cm

Penjelasan dengan langkah-langkah:

soal :

Jika volume kubus sama dengan luas permukaan kubus, panjang sisi kubus adalah … ?

jawab :

[tex]volume \: kubus = luas \: permukaan \: kubus[/tex]

[tex] s \times s \times s = 6 \times s \times s[/tex]

[tex]s = 6 \: cm[/tex]

jadi, panjang sisi kubus tersebut adalah 6 cm


14. Without repetition, such that the average if any group of 5 adjacent numbers is minimum


Jawab:statistics

Penjelasan dengan langkah-langkah:


15. If kl=15cm dan km =18cm, the area of the triangle klm is..... Cm2


√15²-9²

√225-81

√144

=12

area=½×a×t

=½×12×15

=6×15

=90 cm²

if wrong comment:)


16. if the area of small square is 1cm2,then the area of shaded region is....


jika luas kotak kecil adalah 1cm2, maka area yang diarsir adalah ....
PQ = √(2² + 4²)
PQ = √(4 + 16)
PQ = √20
PQ = 2√5 cm

L.persegi = PQ² = (2√5)² = 20 cm²

L.persegi kecil = 2² = 4 cm²

L.arsir = L.persegi - L.persegi kecil
L.arsir = 20 - 4
L.arsir = 16 cm²

semoga membantu ^^

17. the area of a rectangle is equal to the area of a square whose sides have length 8 cm. if the width of the rectangle = 4cm , then find the length of the rectangle


square = s.s
rectangle = w.l

s.s = w.l
8.8 = w.4
64 = w.4
64/4 = w
w = 16 cm

18. The area of a square is 1296 cm2. (a) Find the length of a side of the square. (b) If six of these squares are used to form the six faces of a cube, find the volume of the cube, giving your answer in index notation.​


a).the length of a side of the square

[tex] \sqrt{the \: area \: of \: square} = \sqrt{1296 \: {cm}^{2} } = 36 \: cm \\ \\ b).the \: volume \: of \: the \: cube \: in \: index \: notation \\ side \times side \times side = ( {side})^{3} = ( {36 \: cm)}^{3} [/tex]


19. 19. If the area of a rectangle of width 6 cm is same as the area of a square of side 12 cm, then the length of the rectangle is …​


Jawaban:

24 cm

Penjelasan dengan langkah-langkah:

Luas persegi = sisi² = 12² = 144 cm²

Luas persegi panjang = Luas persegi = 144

Luas persegi panjang = lebar×panjang

144 = 6×panjang

panjang = 24 cm


20. Given that the length of a rectangle is three times of the width. If the area of the rectangle is 192 cm2, then a half of the perimeter of its rectangle is…cm


l = 3w
l.w = A
(3w).w = 192
[tex]3{w}^{2} = 192 \\ {w}^{2} = \frac{192}{3} [/tex]
[tex]w = \sqrt{ \frac{192}{3} } = \sqrt{64} = 8[/tex]
l=3(w) = 3(8) = 24
(1/2) p = (1/2) 2(l+w)
= l + w = 24+8 = 32 cm

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