## The breadth of a room is twice its height and is half of its length. The volume of room is 512m3. Its dimensions are

Question

The breadth of a room is twice its height and is half of its length. The volume of

room is 512m3. Its dimensions are

(a) 16 m, 8 m, 4 m (b) 12 m, 8 m, 2 m

(c) 8 m, 4 m, 2 m (d) 10 m, 15 m, 20 m​

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2 months 2021-08-13T08:32:09+00:00 2 Answers 0 views 0

we have,

b=2h and b = l/2 = l/2 = 2h = 4h = l =4h, b= 2h

Now,

volume = 512 dm cu = 4h 2h h

512 = 8h cu

512/8 =h cu

64= h cu

h = 4dm.

So,

l = 16dm, b = 8dm, h = 4dm.

Step-by-step explanation:

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Option a) 16 m, 8 m, 4 m

Step-by-step explanation:

According to the statement,

b = 2h and b = 1/2 L

so,

H = b/2 and L = 2b

length of the bedroom =   2b

height = b/2

volume = length X breadth X Height

512 =  2b X b X b/2

512 = 2b² X b/2

512 = 2b³/2

512 = b³

∛512 = b

b = 8 m

length = 2b

= 2(8)

= 16 m

height = b/2

= 8/2

= 4 m

length = 16 m; breadth = 8 m; height = 4 m.