# What will happen to the volume of the cube, if its edge is (a) tripled (b) reduced to one-fourth?

**Solution:**

If the edge of a cube is ‘s’ then the volume of the cube is given by:

V = s³

If the edge is triped i.e. s becomes 3s then the volume of the cube will become:

V = (4s)³ = 64s³

If the edge is tripled the volume becomes 27 times the original volume

If the edge of the cube is reduced to one-fourth of its original dimension the edge becomes s/4

The volume of the cube will be

V = (s/4)³ = s³/64

The volume will become 1/64th of the original volume.

**✦ Try This:** What will happen to the volume of the cube, if its edge is (a) quadrupled (b) reduced to half?

If the edge of a cube is ‘s’ then the volume of the cube is given by:

V = s³

If the edge is triped i.e. s becomes 4s then the volume of the cube will become:

V = (4s)³ = 64s³

If the edge is tripled the volume becomes 27 times the original volume

If the edge of the cube is reduced to half of its original dimension the edge becomes s/2

The volume of the cube will be

V = (s/2)³ = s³/8

The volume will become 1/8th of the original volume.

**☛ Also Check:** NCERT Solutions for Class 8 Maths Chapter 11

**NCERT Exemplar Class 8 Maths Chapter 11 Problem 111**

## What will happen to the volume of the cube, if its edge is (a) tripled, (b) reduced to one-fourth?

**Summary:**

The volume of the cube will become 27 times the original volume if the edge is tripled and volume of the cube will become 1/64 of the original if the edge is reduced to one-fourth

**☛ Related Questions:**

- A rectangular sheet of dimensions 25 cm × 7 cm is rotated about its longer side. Find the volume and . . . .
- From a pipe of inner radius 0.75 cm, water flows at the rate of 7 m per second. Find the volume in l . . . .
- Four times the area of the curved surface of a cylinder is equal to 6 times the sum of the areas of . . . .

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