1.4. Practice

Practice

1. Convert the following:
   1. 250 metres (250 m) to kilometres.
      Answer:
      0.250 km
   2. kilometres (178 km) to metres.
      Answer:
      178,000 m
   3. 830 centimetres (830 cm) to metres.
      Answer:
      8.30 m
   4. 375 centimetres (375 cm) to mm.
      Answer:
      3750mm
2. Convert the following:
   1. 2 square metres to square decimetres.
      Answer:
      2 X 10²dm²
   2. 45 square centimetres to square metres.
      Answer:
      45 X 10^-4dm²
   3. 7 cubic metres to cubic decameters.
      Answer:
      7 X 10^-3
   4. 30 cubic decimetres to cubic decametres.
      Answer:
      30 X 10^-6dam³ = 3.0 X
      10^-5dam³
3. Convert the following:
   1. 1 in.=2.54 cm. Convert 12 in. into centimetres.
      Answer:
      30.48 cm
   2. Convert 3.5 m into inches.
      Answer:
      137.795 in
   3. 1 ft =12 inches. Convert 23 ft into inches.
      Answer:
      276 in
   4. Convert 4 ft into m.
      Answer:
      1.2192 m
4. Convert the following:
   1. 72 km/h in m/s
      Answer:
      20 m/s
   2. 5 m/s in km/h
      Answer:
      18 km/h
5. Convert the speed:
   1. Convert the speed v = 23 in/min to a speed expressed in m/s. (1 in = 2.54 cm)
      Answer:
      0.00973667 m/s
6. Convert the torque:
   1. 76.5 lbs x ft to a torque expressed in N x m. (1 ft=12 in; 1 lb = 4.45 N)
      Answer:
      103.76 N ∙ m
7. Imagine a trapezoidal garden with a base length of 12 metres, a top length of 8 metres, and a height of 5 metres. The garden has two parallel sides, where the longer side measures 12 metres and the shorter side measures 8 metres. The height of the garden, representing the distance between the two parallel sides, is 5 metres. Calculate the area in square metres, then covert to square feet.
   Answer:
   50 square metres, 538.2 square feet
8. Imagine a cube with a side length of 4 metres and a rectangular prism with dimensions 6 metres (length), 3 metres (width), and 2 metres (height) connected to form a playing structure. Calculate the volume of the structure in cubic metres, and then convert it to cubic feet
   Answer:
   100 cubic metres, 3531.47 cubic feet.