Question

If the length, breadth and height of a cuboid are in ratio 1: 2: 3 and its volume is 6000cm${}^3$ then the height of the cuboid is ___

• A. 3000 cm
• B. 300 cm
• C. 30 cm
• D. 3 cm

Answer 1

The correct option is C

30 cm

Given: The ratio of length, breadth and height of a cuboid=1:2:3

$\therefore$ Let the length, breadth and height be $x$, 2$x$, 3$x$ respectively

$\because$ Volume of cuboid = length$\times$breadth$\times$ height

$\Rightarrow$ $x$ $\times$ 2$x$ $\times$ 3$x$ = 6000cm${}^3$

$\Rightarrow$ 6$x^3$ = 6000cm${}^3$

$\Rightarrow$ $x^3$ = 1000cm${}^3$

$\Rightarrow$ $x$ = 10 cm

Now the height = 3$x$

= 3 $\times$ 10cm

= 30cm