Question

The length, breadth and height of a room are in the ratio 3:2:1. If its volume is 1296 m. find its breadth​

Answer 1

Answer:

Let the length, breadth and height be 3x , 2x and 1x .

then, we have

volume = 1296

lxbxh= 1296

3x × 2x×1x = 1296

6(x) 3= 1296

x3 = 1296 /6

x3= 216

x = 6

hence, the breadth = 2×x

= 2x6

= 12 m

Answer 2

Answer:

Length, breath, height of the cuboid is 18cm, 12cm and 6cm respectively.

Given:

Ratio of edges of a cuboid = 1 : 2 : 3

Volume of the cuboid = 1296 cm³

To Find:

Length, Breath and height of the cuboid.

Solution:

Let the height of the cuboid = x

Let the breath of the cuboid = 2x

Let the length of the cuboid = 3x

Volume of the cuboid = length × Breath × height

⟾ 1296 cm³ = ( x × 2x × 3x )

⟾ 1296 cm³ = 6x³

⟾ 1296 cm³ / 6 = x³

⟾ 216 cm³ = x³

⟾ ³√216cm³= x

⟾ 6cm = x

Height = x = 6cm

Breath = 2x = 2(6cm) = 12cm

Length = 3x = 3(6cm) = 18cm