Chapter 1: Q6. (page 17)

To convert from ft² to yd², you should
(a) multiply by 3.
(b) multiply by 1/3.
(c) multiply by 9.
(d) multiply by 1/9.
(e) multiply by 6.
(f) multiply by 1/6.

Short Answer

Expert verified

The correct option is (d).

Step by step solution

Step 1. Relation between yd and ft

The conversion of a unit is a process in which the unit of the measurement of a quantity changes from one prospect to another. There is a set factor by which the particular quantity needs to be multiplied or divided for every conversion.

You know that the relation between ft and yd is

$\begin{matrix} 1 yd = 3 ft \\ 1 ft = \frac{1}{3} yd \end{matrix}$

Step 2. Conversion of ft2 to yd2

Now,

$\begin{matrix} {(1 ft)}^{2} = {(\frac{1}{3} yd)}^{2} \\ 1 {ft}^{2} = \frac{1}{9} {yd}^{2} \\ {ft}^{2} = \frac{1}{9} \times {yd}^{2} \end{matrix}$

Hence, to convert ft² to yd², the quantity must be multiplied by $\frac{1}{9}$ .

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To convert from ft² to yd², you should
(a) multiply by 3.
(b) multiply by 1/3.
(c) multiply by 9.
(d) multiply by 1/9.
(e) multiply by 6.
(f) multiply by 1/6.

Short Answer

Step by step solution

Step 1. Relation between yd and ft

Step 2. Conversion of ft2 to yd2

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To convert from ft2 to yd2, you should(a) multiply by 3.(b) multiply by 1/3.(c) multiply by 9.(d) multiply by 1/9.(e) multiply by 6.(f) multiply by 1/6.

Short Answer

Step by step solution

Step 1. Relation between yd and ft

Step 2. Conversion of ft2 to yd2

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Oscillations

Fundamentals of Physics

Translational Dynamics

Wave Optics

Linear Momentum

Particle Model of Matter

Study anywhere. Anytime. Across all devices.

To convert from ft² to yd², you should
(a) multiply by 3.
(b) multiply by 1/3.
(c) multiply by 9.
(d) multiply by 1/9.
(e) multiply by 6.
(f) multiply by 1/6.