Contoh 5 soal Matematika beserta jawaban
Jawaban:
Sepuluh soal matematika beserta jawabannya :
1. Berapa volume kubus jika diketahui panjang sisinya 8 cm?
bold{Dik :}Dik:
s = 8 cm
bold{Dit :}Dit:
V = … ?
bold{Penjelasan :}Penjelasan:
V = s³
= 8³
= 512 cm³
2. Berapa luas permukaan balok jika panjang 12 cm, lebar 7 cm, dan tinggi 15 cm?
bold{Dik :}Dik:
p = 12 cm
l = 7 cm
t = 15 cm
bold{Dit :}Dit:
rm L_pL
p
= … ?
bold{Penjelasan :}Penjelasan:
rm L_pL
p
= 2 × ((p × l) + (p × t) + (l × t))
= 2 × ((12 × 7) + (12 × 15) + (7 × 15))
= 2 × (84 + 180 + 105)
= 2 × 369
= 738 cm²
3. Berapa volume tabung jika jari-jari tabung 7 cm dan tinggi tabung 12 cm?
bold{Dik :}Dik:
r = 7 cm
t = 12 cm
bold{Dit :}Dit:
V = … ?
bold{Penjelasan :}Penjelasan:
begin{gathered}begin{aligned}\& rm V = pi times r^2 times t\& rm = frac{22}{7} times 7^2 times 12\& rm = frac{22}{7} times 49 times 12\& rm = 22 times 7 times 12\& rm = 1.848 cm^3\end{aligned}end{gathered}
V=π×r
2
×t
=
7
22
×7
2
×12
=
7
22
×49×12
=22×7×12
=1.848 cm
3
4. Berapa tinggi kerucut jika volumenya 3.140 cm³ dan panjang jari-jari 14 cm?
bold{Dik :}Dik:
V = 3.140 cm³
r = 14 cm
bold{Dit :}Dit:
t = … ?
bold{Penjelasan :}Penjelasan:
begin{gathered}begin{aligned}\& rm t = frac{3 times V}{pi times r^2}\& rm = frac{3 times 4.312}{frac{22}{7} times 14^2}\& rm = frac{12.936}{frac{22}{7} times 196}\& rm = frac{12.936}{22 times 28}\& rm = frac{12.936}{616}\& rm = 21 cm\end{aligned}end{gathered}
t=
π×r
2
3×V
=
7
22
×14
2
3×4.312
=
7
22
×196
12.936
=
22×28
12.936
=
616
12.936
=21 cm
5. Berapa volume limas jika alasnya berbentuk persegi dengan panjang sisi 5 cm dan tinggi 12 cm?
bold{Dik :}Dik:
s = 5 cm
rm t_lt
l
= 12 cm
bold{Dit :}Dit:
V = … ?
bold{Penjelasan :}Penjelasan:
begin{gathered}begin{aligned}\& rm V = frac{1}{3} times L_a times t_l\& rm = frac{1}{3} times s^2 times 12\& rm = 5^2 times 12\& rm = 25 times 12\& rm = 300 cm^3end{aligned}end{gathered}
V=
3
1
×L
a
×t
l
=
3
1
×s
2
×12
=5
2
×12
=25×12
=300 cm
3
Penjelasan dengan langkah-langkah:
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