Q. Jika luas permukaan sebuah balok adalah 450 cm², panjang balok 15 cm, dan lebarnya 10 cm maka tin.... Question from @ecyw09

Jawaban:

30 cm

penjelasan :

➤ rumus mencari tinggi balok jika diketahui luas permukaan, panjang, dan lebar pada balok adalah $t = \bf \frac{Lp - 2 ( p \times l) }{2 ( p + l)}$

» maka :

$t = \bf \frac{Lp - 2 ( p \times l) }{2 ( p + l)}$

$t \: = \bf \: \frac{450 - 2(15 \times 10)}{2(15 + 10)}$

$t \: = \bf \: \frac{450 - 150 \times 2}{2 \times 25}$

$t \: \bf \: = \frac{450 - 300}{50}$

$t \: = \bf \: \frac{15\cancel0}{5\cancel0}$

$\boxed{ \: \red {t \: \bf \: = 3 \: cm}}$

$\colorbox{black}{\boxed{\color{blue}{\boxed{\color{orang} {{{{⇢ » \: ᥬ♡ཻུ \bf \: mohhisyam27ཻུ࿐}}}}}}}}$

1 votes Thanks 4

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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 = $\boxed{3\:cm}$

$\colorbox{ff0000}{} \colorbox{ff4000}{}\colorbox{ff8000}{}\colorbox{ffc000}{}\colorbox{ffff00}{}\colorbox{c0ff00}{}\colorbox{80ff00}{}\colorbox{40ff00}{}\colorbox{00ff00}{}\colorbox{00ff40}{}\colorbox{00ff80}{}\colorbox{00ffc0}{}\colorbox{00ffff}{}\colorbox{00c0ff}{}\colorbox{0080ff}{}\colorbox{0040ff}{}\colorbox{0000ff}{}\colorbox{4000ff}{}\colorbox{8000ff}{}\colorbox{c000ff}{}\colorbox{ff00ff}{}\colorbox{ff00c0}{}\colorbox{ff00a0}{}\colorbox{ff0080}{}\colorbox{ff0040}{}$

3 votes Thanks 3

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