Question

23. Ratio of surface areas of two cubes is 1: 4, find the ratio of their volumes.*
(1 Point)
O 1:8
1:64
03:12
1:16

Answer 1

Ratio of the cubes Surface Area - 1:4

Total Surface area of cube 1 → 6a²

Total Surface area of cube 2 → 6x²

Surface area = 1:4, now we equate the formula to the value, to find the value of the sides.

[6 gets cancelled]

\implies \mathsf{\frac{a}{x}} = \sqrt{{\frac{1}{4}

\implies \mathsf{\frac{a}{x}} = \frac{1}{2}⟹

x

a

=

2

1

a : x = 1 : 2

Hence,

a = 1

x = 2

Now, Volumes are ↓

Formula for finding Volume = a³

Vol. Of Cube 1

= a³

= 1³

= 1

Vol. Of Cube 2

= a³

= 2³

= 8

Hence the ratio of their volumes is 1:8.

Answer 2

Answer:

1 is to 8

Step-by-step explanation:

hope u have got your answer