Question

(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]

Answer 1

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