# If the Volumes of Two Cubes Are in the Ratio 8: 1, Then the Ratio of Their Edges is - Mathematics

MCQ

If the volumes of two cubes are in the ratio 8: 1, then the ratio of their edges is

#### Options

• 8 : 1

• 2sqrt(2):1

• 2 : 1

•  none of these

#### Solution

Let,

V_1-V_2→ Volumes of the two cubes

a_1,a_2→ Edges of the two cubes

We know that,

V = a3

So,

V_1/V_2 = (a_1^3)/(a_2^3)

8/1 = (a_1/a_2)^3

a_1/a_2 = 2:1

Ratio of their edges is 2:1 .

Concept: Surface Area of a Cuboid
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.3 | Q 4 | Page 35

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