Test Index

MAT Exam 2020 Paper

© examsnet.com

Question : 95 of 200

Marks: +1, -0

The length, breadth and height of a room are in the ratio of

3: 2: 1

. If its volume be

1296 \mathrm{~m}^{3}

, find its breadth.

24 m
15 m
16 m
12 m

Solution:

Concept:

If dimensions are in the ratio

3:2:1

, take them as

3x

,

2x

, and

x

.

Use the formula: Volume

=

length

\times

breadth

\times

height.

Explanation:

Let length

= 3x

, breadth

= 2x

, and height

= x

.

Given volume

= 1296 \, \mathrm{m}^3

.

So,

3x \times 2x \times x = 1296

.

This gives

6x^3 = 1296

.

Therefore,

x^3 = 216

.

Hence,

x = 6

.

Now, breadth

= 2x

.

So, breadth

= 2 \times 6 = 12 \, \mathrm{m}

.

Answer:

Breadth of the room is

12 \, \mathrm{m}

.

Correct option: D.

© examsnet.com

Go to Question:

Prev Question

Next Question