Respuesta :

Answer: 40 cm, 20 cm, 10 cm

Step-by-step explanation:

Given

Volume of rectangular cuboid is [tex]8000\ cm^3[/tex]

Length of cuboid is [tex]4x[/tex]

width of cuboid is [tex]2x[/tex]

Height of cuboid is [tex]x[/tex]

Volume of cuboid is given by

[tex]\Rightarrow \text{Volume}=\text{length}\times \text{width}\times \text{height}[/tex]

[tex]\Rightarrow V=4x\cdot 2x\cdot x\\\Rightarrow 8000=8x^3\\\Rightarrow x^3=1000\\\Rightarrow x=10\ cm[/tex]

Length =40 cm

width =20 cm

Height =10 cm

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