Convert between different units Geometry

The density of aluminium is 2700 \text{kg}/\text{m}^3 /

Given that 1 kg = 2.2 lb and 1 m = 39.4 in, what is the density in \text{lb}/\text{in}^3 ?

0.097 \,{\text{lb}}/{\text{inch}}^3

0.97 \,{\text{lb}}/{\text{inch}}^3

9.7 \,{\text{lb}}/{\text{inch}}^3

9\ 700 \,{\text{lb}}/{\text{inch}}^3

Paul is in a car that is going at a speed of 90 kilometers per hour.

Given that 1 km = 1000 m, what is his speed in meters per second ?

25 m/s

36 m/s

15 m/s

21 m/s

Acceleration of gravity is 9.8 \text{m}/\text{s}^2.

Given that 1 \text{ m}= 3{,}28 \text{ ft}, what is the acceleration in feet per square second ?

32.144 \text{ ft}/\text{s}^2

3.214\text{ ft}/\text{s}^2

321.44\text{ ft}/\text{s}^2

0.321\text{ ft}/\text{s}^2

The area of a square is 10 \, \text{ft}^2. Given that 1ft= 30.48 cm, what is the area in centimeters squared?

9\ 290.304\, \text{cm}^2

929.304\, \text{cm}^2

92.90\, \text{cm}^2

92.9\, \text{cm}^2

The volume of a container is 12 \, \text{cm}^3. Given that 1 cm= 0.4 in, what is the area in inches squared?

0.768 \, \text{in}^3

70.68 \, \text{in}^3

3.6 \, \text{in}^2

4.8 \, \text{in}^2

The area of a garden is 1\, \text{mi}^2.

Given that 1 mi = 1609 m and 1 ha = 10 000 \text{m}^2, what is the area of the garden in hectare?

258.89\text{ ha}

25.89\text{ ha}

2\ 588.88\text{ ha}

2.59 \text{ ha}

A train goes at a speed of 360 miles per hour.

Given that 1 mi = 1760 yd, what is the speed in yard per second ?

176 yd/s

17.6 yd/s

360 yd/s

720 yd/s