Question

A patrallelopiped whose sides are in ratío 24:8
have the same volume as a cube. The ratio of
their surface area is:​

Answer 1

A parallelopiped whose sides are in ratio 2 : 4 : 8 have the same volume as a cube. The ratio of their surface area is :

A) 7 : 5

B) 4 : 3

C) 8 : 5

D) 7 : 6

Correct Answer:

D) 7 : 6

Description for Correct answer:

Sides of parallelopiped are in ratio = 2 : 4 : 8

Let length = 2 units

breadth = 4 units

Height = 8 units

Let the side of cube = a unit

According to question

volume of cube = volume of parallelopiped

a3=2×4×8

a3=64

a=3

√

64

=4units

Surface area of parallelopiped

Surface area of cube

=

2(lb+bh+hl)

6a2

=

2(8+32+16)

6(4)2

=

7

6

=7:6

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