Question

The length breadth and hieght of the hall are in the ratio 3:2:1.if it's volume be 82944 m cube . Find the dimensions of the hall

Answer 1

l:b:h=3x:2x:x and the volume of a cuboid is lbh.

Answer 2

Answer:

Length- 72m

Breadth- 48m

Hieght- 24m

Step-by-step explanation:

Let x be the common ratio.

So, 3x × 2x × 1x = 82944 m cube

6x cube = 82944 m cube

x cube = 82944÷6

x cube = 13824

x = cube√ 13824

x = 24 m

Therefore,

Length- 3x = 3×24 = 72m

Breadth- 2x = 2×24 = 48m

Hieght- 1x = 1×24 = 24m

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