# Suppose that There Are Two Cubes, Having Edges 2 Cm and 4 Cm, Respectively. Find the Volumes V1 and V2 of the Cubes and Compare Them. - Mathematics

Suppose that there are two cubes, having edges 2 cm and 4 cm, respectively. Find the volumes V1and V2 of the cubes and compare them.

#### Solution

$\text { The edges of the two cubes are 2 cm and 4 cm } .$

$\text { Volume of the cube of side 2 cm, V_1 = (side ) }^3 = (2 )^3 = 8 {cm}^3$

$\text { Volume of the cube of side 4 cm }, V_2 = (\text { side })^3 = (4 )^3 = 64 {cm}^3$

We observe the following:

$V_2 = 64 {cm}^3 = 8 \times 8 {cm}^3 = 8 \times V_1$

$\therefore V_2 = 8 V_1$

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 21 Mensuration - II (Volumes and Surface Areas of a Cuboid and a Cube)
Exercise 21.1 | Q 17 | Page 9