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