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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 魅影直播 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 12: Q10. (page 477)

Find the following.
a.Since 1 yd = 3 ft, 1 yd² = ft² and 1 yd³ = ft³
b.Since 1 ft = in, 1 ft² = in² and 1 ft³ = in³
c.Since 1 m = cm, 1 m² = cm² and 1 m³ = cm³

Short Answer

Expert verified

Since 1 yd = 3 ft, 1 yd² =9 ft² and 1 yd³ =27 ft³
Since 1 ft =12 in, 1 ft² =144 in² and 1 ft³ =1728 in³
Since 1 m =100 cm, 1 m² =10000 cm² and 1 m³ =10⁶ cm³

Step by step solution

01

Step 1. Given information.

Given,

$1 yd = 3 鈥夆赌塮迟$ .

02

Step 2. Explanation.

Since,

$1 yd = 3 鈥夆赌塮迟$

Then,

$\begin{matrix} 1 {yd}^{2} = 1 yd 脳 1 yd \\ = 3 鈥夆赌塮迟脳 3 鈥夆赌塮迟 \\ = 9 {鈥夆赌塮迟}^{2} \end{matrix}$

And

$\begin{matrix} 1 {yd}^{3} = 1 yd 脳 1 yd 脳 1 yd \\ = 3 鈥夆赌塮迟脳 3 鈥夆赌塮迟脳 3 鈥夆赌塮迟 \\ = 27 {鈥夆赌塮迟}^{3} \end{matrix}$

03

Step 1. Given information.

Given,

$1 ft = 12 鈥夆赌塱苍$

04

Step 2. Explanation.

Since,

$1 ft = 12 鈥夆赌塱苍$

Then,

$\begin{matrix} 1 {ft}^{2} = 1 ft 脳 1 ft \\ = 12 in 脳 12 in \\ = 144 {鈥夆赌塱苍}^{2} \end{matrix}$

And

$\begin{matrix} 1 {ft}^{3} = 1 ft 脳 1 ft 脳 1 ft \\ = 12 in 脳 12 in 脳 12 in \\ = 1728 {鈥夆赌塱苍}^{3} \end{matrix}$

05

Step 1. Given information.

Given,

$1 m = 100 鈥夆赌塩尘$

06

Step 2. Explanation.

Since,

$1 m = 100 鈥夆赌塩尘$

Then,

$\begin{matrix} 1 m^{2} = 1 m 脳 1 m \\ = 100 鈥夆赌塩尘脳 100 鈥夆赌塩尘 \\ = 10000 {鈥夆赌塩尘}^{2} \end{matrix}$

And

$\begin{matrix} 1 m^{3} = 1 m 脳 1 m 脳 1 m \\ = 100 鈥夆赌塩尘脳 100 鈥夆赌塩尘脳 100 鈥夆赌塩尘 \\ = 1000000 {鈥夆赌塩尘}^{3} \\ = 10^{6} {鈥夆赌塩尘}^{3} \end{matrix}$

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