Volumes Practice Test 3

Question : 4 of 40

Marks: +1, -0

The breadth of a cuboid is twice its height and half its length. If the volume of the cuboid is 512

m^3

, then find the length of the cuboid.

Solution:

Let length, breadth and height of a cuboid are x, x/2 and

x/4

cm respectively, then

x× x/2 × x/4

= 512
⇒

x^3

8^3 × 2^3

∴ x = 8 × 2 = 16 m

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