Shrinking Machine: In a shrinking machine, a piece of stick is compressed to reduce its length. If 9 cm long sandwich is put into the shrinking machine below, how many cm long will it be when it emerges?

Solution:

In a shrinking machine, a piece of stick is compressed to reduce its length.

A 9 cm long sandwich is put into the shrinking machine.

We have to find the length of the sandwich when it comes out of the machine.

According to the question,

Input = 9 cm

Shrinking factor = (1/3)⁻¹

Output = 9 × (1/3)⁻¹

Using law of exponents,

a⁻ⁿ = 1/aⁿ

So, (1/3)⁻¹ = 1/3

Output = 9 × 1/3

= 3 cm.

Therefore, the length of the sandwich when it comes out of the machine is 3 cm.

✦ Try This: Shrinking Machine In a shrinking machine, a piece of stick is compressed to reduce its length. If 27 cm long sandwich is put into the shrinking machine below, how many cm long will it be when it emerges?

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12

NCERT Exemplar Class 8 Maths Chapter 8 Problem 154

Shrinking Machine: In a shrinking machine, a piece of stick is compressed to reduce its length. If 9 cm long sandwich is put into the shrinking machine below, how many cm long will it be when it emerges?

Summary:

Shrinking Machine In a shrinking machine, a piece of stick is compressed to reduce its length. If 9 cm long sandwich is put into the shrinking machine below, 3 cm long will it be when it emerges.

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