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Xavier Aptitude Test 2017 Solved Paper
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© examsnet.com
Question : 51
Total: 97
The volume of a pyramid with a square base is 200 cm
3
. The height of the pyramid is 13 cm. What will be the length of the slant edges (i.e. the distance between the apex and any other vertex), rounded to the nearest integer?
12 cm
13 cm
14 cm
15 cm
16 cm
Validate
Solution:
(c)
Volume of fyramid =
1
3
×
area of base
×
height
⇒
1
3
×
a
2
×
h
=
200
⇒
a
2
=
200
×
3
13
=
600
13
Also, Area of square (base)
=
a
2
=
1
2
d
2
⇒
d
2
=
2
×
a
2
=
1200
13
⇒
d
=
√
1200
13
⇒
d
2
=
√
1
4
×
1200
13
=
√
300
13
Thus, required length of slant edge
=
√
13
2
+
d
2
4
=
√
169
+
300
13
=
√
2497
13
≅
√
192
≅
14
c
m
© examsnet.com
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