The volume of Cube A is 64cm3. The length of cube B is twice the length of cube A. Find the volume of cube B. piw kka can you help this?
1. The volume of Cube A is 64cm3. The length of cube B is twice the length of cube A. Find the volume of cube B. piw kka can you help this?
Soal dapat diterjemahkan menjadi :
Volume Kubus A adalah 64 cm³. Panjang rusuk kubus B adalah dua kali panjang rusuk kubus A, maka volume kubus B adalah [tex]512[/tex] cm³
Diketahui :Kubus A dan Kubus B
[tex]\text {V}_\text A[/tex] = 64 cm³
[tex]\text {s}_\text B[/tex] = [tex]2 \times \text {s}_\text A[/tex]
[tex]\text {s}_\text A[/tex] = rusuk kubus A
[tex]\text {s}_\text B[/tex] = rusuk kubus B
Ditanyakan :Volume kubus B
Jawab :Rumus volume kubus adalah [tex]\boxed {\text V = \text s^3}[/tex], untuk s adalah panjang rusuk kubus
Maka
Cara 1Volume kubus A
[tex]\text {V}_\text A[/tex] = 64 cm³
⇔ [tex]\text {V}_\text A[/tex] = [tex](\text {s}_\text A)^3[/tex] = 64 cm³
Volume kubus B
[tex]\text {V}_\text B[/tex] = [tex](\text {s}_\text B)^3[/tex], dengan syarat [tex]\text {s}_\text B[/tex] = [tex]2 \times \text {s}_\text A[/tex], didapat :
⇔ [tex]\text {V}_\text B[/tex] = [tex](2 \times \text {s}_\text A)^3[/tex]
⇔ [tex]\text {V}_\text B[/tex] = [tex]2^3 (\text {s}_\text A)^3[/tex]
⇔ [tex]\text {V}_\text B[/tex] = [tex]8 \times 64[/tex]
⇔ [tex]\text {V}_\text B[/tex] = [tex]512[/tex] cm³
∴ Jadi volume kubus B adalah [tex]512[/tex] cm³
Cara 2[tex]\text {V}_\text A[/tex] = 64 cm³
⇔ [tex]64[/tex] = [tex](\text {s}_\text A)^3[/tex]
⇔ [tex](\text {s}_\text A)^3[/tex] = [tex]64[/tex]
⇔ [tex]\text {s}_\text A[/tex] = [tex]\sqrt[3]{64}[/tex]
⇔ [tex]\text {s}_\text A[/tex] = [tex]\sqrt[3]{64}[/tex]
⇔ [tex]\text {s}_\text A[/tex] = [tex]4[/tex] cm
Panjang rusuk kubus A = 4 cm
Panjang rusuk kubus B adalah : [tex]\text {s}_\text B[/tex] = [tex]2 \times \text {s}_\text A[/tex], maka
[tex]\text {s}_\text B[/tex] = [tex]2 \times \text {s}_\text A[/tex]
⇔ [tex]\text {s}_\text B[/tex] = [tex]2 \times 4[/tex]
⇔ [tex]\text {s}_\text B[/tex] = [tex]8[/tex] cm
Volume kubus B,
[tex]\text {V}_\text B[/tex] = [tex]( \text {s}_\text B)^3[/tex]
⇔ [tex]\text {V}_\text B[/tex] = [tex](8)^3[/tex]
⇔ [tex]\text {V}_\text B[/tex] = [tex]512[/tex] cm³
∴ Jadi volume kubus B adalah [tex]512[/tex] cm³
2. 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
3. If the volume of the cube is 2.744 cm3, then the length of the side of the cube is .... cm.
then the length of the side of the cube is 14cm.
PendahuluanSesuai namanya bangun ruang adalah bangun yang memiliki ruang. Bangun ruang disebut juga bangun tiga dimensi. Berikut macam-macam bangun ruang.
KubusBalokPrismaTabung Limas KerucutBolaPada kali ini kita akan membahas tentang [tex]\sf \red{Kubus.}[/tex]
[tex]\sf \red{Kubus}[/tex] adalah bangun ruang tiga dimensi yang memiliki 12 rusuk yang sama panjang. Kubus memiliki 6 sisi sama panjang yang membentuk persegi. Kubus memiliki 8 buah titik sudut.
Rumus Volume Kubus :
[tex]\boxed{\blue{\sf V = s^3 }}[/tex]Rumus Luas Permukaan Kubus :
[tex]\boxed{\green{\sf Lp = 6 \times s^2}}[/tex]KeteranganV = Volumes = SisiLp = Luas PermukaanPembahasanDiketahui
V = 2.744 cm³
Ditanya
s ..?
Jawab
[tex] \sf \: s = \sqrt[3]{V} [/tex]
[tex] \sf \: s = \sqrt[3]{2.744} [/tex]
[tex] \sf \: s = \sqrt[3]{ {14}^{3} } [/tex]
[tex] \sf \: s = \sqrt[ \cancel3]{ {14}^{ \cancel3} } [/tex]
[tex] \sf \: s = 14 \: cm[/tex]
Kesimpulanthen the length of the side of the cube is 14 cm.
Pelajari Lebih Lanjut10 contoh soal kubus beserta pembahasannya → 1https://brainly.co.id/tugas/4137341Tuliskan rumus kubus → https://brainly.co.id/tugas/42557698Volume dan Luas Permukaan kubus dengan sisi 34 cm → https://brainly.co.id/tugas/42130156Detail JawabanMapel : MatematikaKelas : 5Materi : Bab 4 - Volume Kubus dan BalokKode Soal : 2Kode Kategorisasi : 5.2.4Kata Kunci : volume, luas permukaan, kubus, bangun datar[tex]\red{ \boxed{ \green{ \boxed{ \pink\star \: \purple{ \mathcal{M}} \rm \purple{arixa} \: \pink\star}}}}[/tex]
4. he area of each face of a cube is 64 m². What is the length of one edge of the cube? a. √64 b. ∛64
Jawaban:
a
Penjelasan dengan langkah-langkah:
[tex] \sqrt{64} \times \sqrt{64} = 64[/tex]
5. the survace of a cube is 294 cm2 .the length of a side and the volume of the cube are tolong di jawab kak
Jawaban:
bangun Ruang : Cube (kubus)
the survace of a Cube is 294 cm²
L = 6 × s²
294 = 6 × s²
s² = 294/6
s² = 49
s = √49 = 7 cm
the length of a side is 7 cm
volume kubus :
v = S³
V = 7³
v = 343 cm³
The surface of a cube is 294 cm². The length of a side is 7cm, and the volume of the cube is 343cm³.
PenyelesaianDiketahui:
Luas permukaan kubus = 294 cm²
Ditanya:Panjang sisi dan volume?
Jawab:
Panjang sisi
Lp kubus = 6s²
294 cm² = 6s²
294 / 6 = s²
49 = s²
s = √49
s = 7 cm
Volume kubus
V = s³
V = 7³
V = 343 cm³
____________________________________
Pelajari lebih lanjut : Mengenai panjang kubus satuan https://brainly.co.id/tugas/26399276Volume kubus https://brainly.co.id/tugas/5645262Detil JawabanMapel : Matematika
Kelas : 8 SMP
Materi : Bangun Ruang
Kata Kunci : Volume
Kode Soal : 2
Kode Kategorisasi : 8.2
6. The volume of a cube is 125cm^3. What is the edge length of the cube?A. 5 cmB. 6 cmC. 25 cmD. 12,5 cm
Kubus...
V = s³
125 = s³
s³ = 125
s = ³√125
s = 5 cm
Jawaban A
Mapel : Matematika
Bab : Bangun ruang
Kode : 8.2.8
7. A cube has a volume of 27 cm3. If the length of the edge is enlarged to 4 times the original length of the edge, the volume of the cube becomes…cm3.
Jawaban:
³√27 = 3
sisi x 4
= 3 x 4 = 12
v = s x s x s
= 12 x 12 x 12
= 1.728
8. a cube has side length 12 cm. determine the volume of cube
Jawab:
1728 cm ^3
Penjelasan dengan langkah-langkah:
volume = sisi pangkat 3
12^3 = 1728
9. there is a cube with a length of 6 m filled with water with a hole in the side which is 2 m higher than the base of the cube (the hole is a square) and there is another cube with a length of 5m beside the hole, how many m3 of water will be in the first cube, and the m3 of water in the second cube
Jawaban:
ada kubus dengan panjang 6 m diisi air dengan lubang di sisi yang lebih tinggi 2 m dari alas kubus (lubangnya persegi) dan ada kubus lain dengan panjang 5 m di sampingnya
10. Matematika yak :vThe volume of a piece of glass cube is 1728 cm³.Find the length of side of the cube!Goodluck!!!
Jawaban:
12 cm
Penjelasan dengan langkah-langkah:
caranya ada di gambar
terimakasih
[tex] \huge{ \red{ \mathfrak{jawaban : }}}[/tex]
[tex]v = s\times \: s \times s[/tex][tex]v = 12 \times 12 \times 12[/tex][tex]v = 1.728 \: cm {}^{3} [/tex][tex]jadi \: panjang \: rusuknya \: yaitu \: 12[/tex]
[tex] \huge{ \red{ \mathfrak{kesimpulan : }}}[/tex]
[tex]v = volume[/tex][tex]s = sisi[/tex][tex]{\red{\boxed{{\[\tt Answerby :{\red{\boxed{{{\tt Salsa Nabila541}}}}}}}}}[/tex]
11. A cube has a volume of 27 cm3. If the length of the edge is enlarged to 4 times the original length of the edge, the volume of the cube becomes…cm3.
Jawaban:
1,728
Penjelasan dengan langkah-langkah:
27 cm³ = 3 cm
4 times the original 3×4 = 12cm
volume cube
12³ = 1,728 cm³
12. The volume of a cube is given by the formula s^3, where s is the length of a side. If a cube has a volume of 64, and the length of each side is halved, the new cube's volume will be:
Jawaban:
8
Penjelasan dengan langkah-langkah:
[tex]v = {s}^{3} \\ s = \sqrt[3]{v} \\ s = \sqrt[3]{64} \\ = 4[/tex]
new cube volume :
[tex]v = {s}^{3} \\ v = {2}^{3} \\ = 8[/tex]
13. the unit SI of length is?
Penjelasan dengan langkah-langkah:
the unit SI of length is meter
14. the length of a space diagonal cube having a base area of 196cm² is
Diketahui :
La = 196 cm²
Ditanya :
dr?
Jawab :
La = r²
196 = r²
r = √196
r = 14 cm
dr = r√3
dr = 14√3 cm
Penjelasan dengan langkah-langkah:
FYAN1440WITH BRAINLY _____________________======>Mathematics <=======
Rumus =>L. alas = r² => r = √L. alas
Diagonal ruang = r√3
Penjelasan :
• r = √196 cm²
r = 14 cm
• Dia. ru. = 14√3 cm
15. An iron cube that has a side length of 10 cm is placed on a table with a wide surface of 4 m2. If the weight of the cube is 60 N, then the pressure that produced Iron cube is...An iron cube that has a side length of 10 cm is placed on a table with a wide surface of 4 m2. If the weight of the cube is 60 N, then the pressure that produced Iron cube is...
Penjelasan:
1 bangsa kita adalah bangsa indonesia
16. The volume of a piece of glass cube is 1728 cm³. Find the length of side of the cube!
[tex] \sqrt[3]{1728} = 12cm[/tex]
length of side
[tex]s = \sqrt[3]{1.728} \\ s = \sqrt[3]{ {12}^{3} } \\ s = 12cm[/tex]
17. The surface area of a cube is 1014 cm². Find the edge length of the cube.a. 14 cmb. 16 cmc. 13 cmd. 169 cm
known :Lp = 1014 cm²asked :r ..?answered:
[tex] \tt \: r = \sqrt{Lp \div 6} [/tex]
[tex] \tt \: r = \sqrt{1014 \div 6} [/tex]
[tex] \tt \: r = \sqrt{169} [/tex]
[tex] \tt \: r = 13 \: cm[/tex]
So, the length of the side of the cube is 13cm (C.)
18. Given that the volume of a cube is 2744 cm3, find the length of its edge
Volume of cube = 2744 cm3
length of its edge is....
[tex]v = {s}^{3} \\ 2744 = {s}^{3} \\ s = \sqrt[3]{2744} \\ s = 14cm[/tex]
So the length of its edge is 14 cm
19. the volume of the Rubik's cube below is 512 cm³ what is the length of the one edge of the cube
Jawaban:
8 cm
Penjelasan dengan langkah-langkah:
[tex] \sqrt[3]{512 } = 8 cm [/tex]
20. the volume of the cube is 512 cm3.what ITS length of one edge of the wooden cube
Penjelasan dengan langkah-langkah:
[tex]l = \sqrt[3]{512} = 8cm[/tex]
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