Shikha has an order from a golf course designer to put palm trees through a (× 2³) machine and then through a (× 3³) machine. She thinks she can do the job with a single repeater machine. What single repeater machine should she use?
Solution:
Shikha has an order from a golf course designer to put palm trees through a (× 2³) machine and then through a (× 3³) machine.
She thinks she can do the job with a single repeater machine.
We have to determine a single repeater machine that can do the job.
A repeater machine is a hypothetical machine which automatically enlarges items several times.
We know that, when two machines are hooked up their stretching power is multiplied.
Stretching power = (× 2³) × (× 3³)
= 2³ × 3³
We know, 2³ = 8
Also, 3³ = 27
= 8 × 27
= 216
We know, 216 = 6³
= 6³
Therefore, (× 6³) is a single repeater machine that will do the same work.
✦ Try This: Shana has an order from a golf course designer to put palm trees through a (× 3³) machine and then through a (× 2²) machine. She thinks she can do the job with a single repeater machine. What single repeater machine should she use?
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12
NCERT Exemplar Class 8 Maths Chapter 8 Problem 161
Shikha has an order from a golf course designer to put palm trees through a (× 2³) machine and then through a (× 3³) machine. She thinks she can do the job with a single repeater machine. What single repeater machine should she use?
Summary:
Shikha has an order from a golf course designer to put palm trees through a (× 2³) machine and then through a (× 3³) machine. She thinks she can do the job with a single repeater machine. (× 6³) is a single repeater machine that she should use.
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