Question

The length breadth and height of a room are in the ratio 3 is to 2 is to 1 if its volume be 1296 m3.

Answer 1

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◆◆◆◆◆ ◆◆ ◆◆◆◆◆
let X is included in the ratio
so.......
length = 3X= l
breadth= 2X =b
and height = X = h
NOW................
ACCORDING tO THE
QUESTION......
volume Of room = l× b× h
1296 = (3x) ×(2x) × (x)
216
1296 = 6 x^3
216= x^3
so......
x = 6
-+--------------------------
hence ........
lenght = 18 ,m
beadth = 12 m
height = 6m
_____________________
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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