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Volumes Practice Test 1
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© examsnet.com
Question : 30
Total: 40
The surface area of a cuboid is 22
c
m
2
and sum of the lengths of all its edges is 24 cm. Find the length of a diagonal of the cuboid.
2.74 cm
3 cm
3.74 cm
4 cm
Validate
Solution:
👈: Video 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
© examsnet.com
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