Volumes Practice Test 1

Question : 33 of 40

Marks: +1, -0

The height of a wall is six times of its width and the length of the wall is seven times of its height. If the volume of the wall is 16128

m^3

, find its width.

Solution:

Here, h = 6b
∴ b =

h/b

and also, l = 7h; then
7h ×

h/6 × h

= 16128
⇒

h^3

{16128×6}/{7}

∴ h =

(13284)^{1/3}

= 24 m
Hence, width of the wall, b =

h/6

{24}/6

= 4 m

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