Jawaban :
1. V = 7.560 cm³
Lp = 2.920 cm²
2. V = 1.997,04 cm³
Penjelasan dengan langkah-langkah:
1. Gabungan bangun ruang balok + kubus
Diketahui
Ditanya
Dijawab
Volume gabungan bangun ruang
[tex] = \boxed{ \colorbox{black}{ \sf{ \color{white}{ \: v.balok + v.kubus \: }}}}[/tex]
V. balok = p × l × t
= ( 15 + 12 ) × 12 × 18
= 27 × 12 × 18
= 5.832
V. kubus = r³
= 12³
= 12 × 12 × 12
= 1.728
V. gabungan bangun ruang balok + kubus
= V. balok + V. kubus
= 5.832 + 1.728
= 7.560 cm³
Luas permukaan gabungan bangun ruang
[tex] = \boxed{ \colorbox{black}{ \sf{ \color{white}{lp.balok + lp.kubus \: }}}}[/tex]
Lp. balok = 2 × ( pl + pt + lt)
= 2 × ( 27×12 + 27×18 + 12×18 )
= 2 × ( 324 + 486 + 216 )
= 2 × 1.026
= 2.056
Lp. kubus = 6 r²
= 6 × 12²
= 6 × 12 × 12
= 6 × 144
= 864
Lp. gabungan bangun ruang balok + kubus
= Lp. balok + Lp. kubus
= 2.056 + 864
= 2.920 cm²
2. Gabungan bangun ruang tabung + kerucut
[tex] = \boxed{ \colorbox{black}{ \sf{ \color{white}{v.tabung + v.kerucut \: }}}}[/tex]
V. tabung = πr²t
= 3,14 × 6² × 15
= 3,14 × ( 6 × 6 ) × 15
= 3,14 × 36 × 15
= 1695,6
V. kerucut = ⅓πr²t
= ⅓ × 3,14 × 6² × ( 23 - 15 )
= ⅓ × 3,14 × ( 6 × 6 ) × 8
= ⅓ × 3,14 × 36 × 8
= 301,44
V. gabungan bangun ruang tabung + kerucut
= V. tabung + V. kerucut
= 1695,6 + 301,44
= 1.997,04 cm³
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Jawaban :
1. V = 7.560 cm³
Lp = 2.920 cm²
2. V = 1.997,04 cm³
Penjelasan dengan langkah-langkah:
1. Gabungan bangun ruang balok + kubus
Diketahui
Ditanya
Dijawab
Volume gabungan bangun ruang
[tex] = \boxed{ \colorbox{black}{ \sf{ \color{white}{ \: v.balok + v.kubus \: }}}}[/tex]
V. balok = p × l × t
= ( 15 + 12 ) × 12 × 18
= 27 × 12 × 18
= 5.832
V. kubus = r³
= 12³
= 12 × 12 × 12
= 1.728
V. gabungan bangun ruang balok + kubus
= V. balok + V. kubus
= 5.832 + 1.728
= 7.560 cm³
Luas permukaan gabungan bangun ruang
[tex] = \boxed{ \colorbox{black}{ \sf{ \color{white}{lp.balok + lp.kubus \: }}}}[/tex]
Lp. balok = 2 × ( pl + pt + lt)
= 2 × ( 27×12 + 27×18 + 12×18 )
= 2 × ( 324 + 486 + 216 )
= 2 × 1.026
= 2.056
Lp. kubus = 6 r²
= 6 × 12²
= 6 × 12 × 12
= 6 × 144
= 864
Lp. gabungan bangun ruang balok + kubus
= Lp. balok + Lp. kubus
= 2.056 + 864
= 2.920 cm²
2. Gabungan bangun ruang tabung + kerucut
Diketahui
Ditanya
Dijawab
Volume gabungan bangun ruang
[tex] = \boxed{ \colorbox{black}{ \sf{ \color{white}{v.tabung + v.kerucut \: }}}}[/tex]
V. tabung = πr²t
= 3,14 × 6² × 15
= 3,14 × ( 6 × 6 ) × 15
= 3,14 × 36 × 15
= 1695,6
V. kerucut = ⅓πr²t
= ⅓ × 3,14 × 6² × ( 23 - 15 )
= ⅓ × 3,14 × ( 6 × 6 ) × 8
= ⅓ × 3,14 × 36 × 8
= 301,44
V. gabungan bangun ruang tabung + kerucut
= V. tabung + V. kerucut
= 1695,6 + 301,44
= 1.997,04 cm³