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Pak Roni membuat kotak buah berbentuk balok dengan volume sebesar 3750 dm³.

Rani Maharani

31 Mei, 2023

"Soal:

Pak Roni membuat kotak buah berbentuk balok dengan volume sebesar 3750 dm³. Jika lebar kotak buah itu adalah 150 cm dan 125 cm, maka panjangnya adalah..."

Jawaban

"Diketahui:

Volume kotak buah (V) = 3750 dm³

Lebar kotak buah (l) = 150 cm

Tinggi kotak buah (h) = 125 cm"

"Ditanyakan:

Panjang kotak buah (p)"

"Rumus:

Volume balok = Panjang × Lebar × Tinggi"

"Penyelesaian:

Karena volume kotak buah diberikan dalam dm³, kita perlu mengonversi lebar dan tinggi dari cm ke dm. Karena 1 dm sama dengan 10 cm, maka lebar (l) dan tinggi (h) dalam dm adalah:

Lebar (l) = 150 cm ÷ 10 = 15 dm

Tinggi (h) = 125 cm ÷ 10 = 12.5 dm

Substitusikan nilai-nilai yang diketahui ke rumus volume balok:

3750 dm³ = Panjang × 15 dm × 12.5 dm

Simplifikasi persamaan tersebut:

3750 dm³ = 187.5 Panjang dm²

Bagi kedua ruas persamaan dengan 187.5 dm²:

3750 dm³ ÷ 187.5 dm² = Panjang

Panjang = 20 dm

Jadi, panjang kotak buah tersebut adalah 20 dm."

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