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^3\end{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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