(d) The ratio of the surface areas of two geometrically similar cuboids of the same material is
36:169. Both cuboids are filled with cement. The mass of cement in the smaller cuboid is
11 kg. Find the mass of cement in the larger cuboid.
[2]
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Step-by-step explanation:
Surface area of cube 6x
2
surfacearea2ndcube
surfacearea1stcube
=
36
25
6b
2
6a
2
=
36
25
⇒
b
a
=
36
25
i. e
b
a
=
6
5
=5:6
volume of cube x
2
volumeof2ndcube
volumeof1stcube
=
b
3
a
3
b
3
a
3
=
6
3
5
3
=
216
125
∴ Ratio of volume
=125:216
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