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

Answers ( )

    0
    2021-08-13T08:33:39+00:00

    Answer:

    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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    0
    2021-08-13T08:34:00+00:00

    Answer:

    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

    breadth = b

    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.

    Hope this will help you!!!

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