Convert each of the following measurements to the units by first using conversion tables.

a. 5.2 km = ? miles

b. 4300. in^2 =? m^2

c. 6677 m^3 = ? acre-ft

Respuesta :

Answer and explanation:

To find : Convert each of the following measurements to the units by first using conversion tables ?

Solution :

a) 5.2 km into miles

[tex]1 \text{ miles }= 1.609 \text{ kilometer }[/tex]

[tex]1 \text{ kilometer }=\frac{1}{1.609} \text{ miles }[/tex]

[tex]5.2 \text{ kilometer }=\frac{5.2}{1.609} \text{ miles }[/tex]

[tex]5.2 \text{ kilometer }=3.23 \text{ miles }[/tex]

b) 4300 in² into m²

[tex]1 \text{ inch }= 0.0254 \text{ meter }[/tex]

[tex]1 \text{ inch }^2=( 0.0254)^2 \text{ meter }^2[/tex]

[tex]1 \text{ inch }^2=0.00064516 \text{ meter }^2[/tex]

[tex]4300 \text{ inch }^2=4300\times 0.00064516 \text{ meter }^2[/tex]

[tex]4300 \text{ inch }^2=2.77 \text{ meter }^2[/tex]

c) 6677 m³ into acre-ft

[tex]1 \text{ acre-ft }= 1233.48 \text{ meter }^3[/tex]

[tex]1 \text{ meter }^3=\frac{1}{1233.48}\text{ acre-ft }[/tex]

[tex]6677 \text{ meter }^3=\frac{6677}{1233.48}\text{ acre-ft }[/tex]

[tex]6677 \text{ meter }^3=5.41\text{ acre-ft }[/tex]