# If L is the Length of a Diagonal of a Cube of Volume V, Then - Mathematics

MCQ

If l is the length of a diagonal of a cube of volume V, then

#### Options

• 3V = l3

• sqrt(3V )= 1^3

• 3 sqrt(3V )= 21^3

• 3sqrt(3V )= 1^3

#### Solution

We have,

l→Diagonal of the cube

V → Volume of the cube

a → Side of the cube

We know that,

l = a sqrt(3)

l^3 = 3 sqrt(3a)^3

=3sqrt(3V)                                         {"Since" , V = a^3}

3sqrt(3) V = l^3

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 18.4 | Q 18 | Page 36

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