Jika luas permukaan sebuah balok adalah 450 cm², panjang balok 15 cm, dan lebarnya 10 cm maka tinggi balok tersebut adalah ...
Jawaban:
30 cm
penjelasan :
➤ rumus mencari tinggi balok jika diketahui luas permukaan, panjang, dan lebar pada balok adalah [tex] t = \bf \frac{Lp - 2 ( p \times l) }{2 ( p + l)} [/tex]
» maka :
[tex] t = \bf \frac{Lp - 2 ( p \times l) }{2 ( p + l)} [/tex]
[tex]t \: = \bf \: \frac{450 - 2(15 \times 10)}{2(15 + 10)} [/tex]
[tex]t \: = \bf \: \frac{450 - 150 \times 2}{2 \times 25} [/tex]
[tex]t \: \bf \: = \frac{450 - 300}{50} [/tex]
[tex]t \: = \bf \: \frac{15\cancel0}{5\cancel0} [/tex]
[tex] \boxed{ \: \red {t \: \bf \: = 3 \: cm}}[/tex]
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Penjelasan dengan langkah-langkah:
Lp = 2 × (pl + pt + lt)
450 cm² = 2 × ( 15 × 10 ) + ( 15 × t ) + ( 10 × t ) cm
450 cm² = 2 × ( 150 + 15t + 10t ) cm
450 cm² = 300 cm + 50t cm
450 cm - 300 cm = 50t
150 cm = 50t
t = 150 cm ÷ 50
t = [tex]\boxed{3\:cm}[/tex]
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