Volumes Practice Test 1

Question : 30 of 40

Marks: +1, -0

The surface area of a cuboid is 22

cm^2

and sum of the lengths of all its edges is 24 cm. Find the length of a diagonal of the cuboid.

Solution:

Here, 2(lb + bh + hl) = 22 cm and
also, 4(l + b + h) = 24 cm
⇒ (l + b + h) = 6 cm
Now,

l^2 + b^2 + h^2

(l + b + h)^2

– 2(lb + bh + hl) =

(6)^2

– 22 = 14
Since, diagonal, d =

√{l^2+b^2+h^2}

√{14}

= 3.74 cm

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