Question

use unit multipliers to convert: (41) 6. 87 ft² to square inches (41) 7. 61 yd² to square inches (41) 8. 32 mi³ to cubic inches hours, how far did they walk, and how far did they ride? 0 miles and it

Explanation:

Step1: Convert ft² to in² (Q6)

Recall $1\ \text{ft}=12\ \text{in}$, so $1\ \text{ft}^2=(12)^2\ \text{in}^2=144\ \text{in}^2$.
$87\ \text{ft}^2 \times 144\ \frac{\text{in}^2}{\text{ft}^2}$

Step2: Calculate Q6 result

$87 \times 144 = 12528$

Step3: Convert yd² to in² (Q7)

Recall $1\ \text{yd}=36\ \text{in}$, so $1\ \text{yd}^2=(36)^2\ \text{in}^2=1296\ \text{in}^2$.
$61\ \text{yd}^2 \times 1296\ \frac{\text{in}^2}{\text{yd}^2}$

Step4: Calculate Q7 result

$61 \times 1296 = 79056$

Step5: Convert mi³ to in³ (Q8)

Recall $1\ \text{mi}=5280\ \text{ft}=5280 \times 12\ \text{in}=63360\ \text{in}$, so $1\ \text{mi}^3=(63360)^3\ \text{in}^3$.
$32\ \text{mi}^3 \times (63360)^3\ \frac{\text{in}^3}{\text{mi}^3}$

Step6: Calculate Q8 result

First compute $(63360)^3=63360 \times 63360 \times 63360=254358061056000$, then $32 \times 254358061056000=8139457953792000$

Answer:

1. $12528\ \text{square inches}$
2. $79056\ \text{square inches}$
3. $8139457953792000\ \text{cubic inches}$