Mathematics
The dimensions of the model of a multistorey building are 1 m × 60 cm × 1.25 m. If the model is drawn to a scale 1 : 60, find the actual dimensions of the building in meters. Find:
(i) the floor area of a room of the building, whose area in the model is 250 cm2,
(ii) the volume of the room in the model, whose actual volume is 648 cubic metres.
Related Questions
The scale of a map is 1 : 200000. A plot of land of area 10 km2 is to be represented on the map. Find :
(i) the length in km on the ground, represented by 1 cm on the map,
(ii) the area in km2 that can be represented by 3 cm2 on the map,
(iii) the area on the map representing the plot of land.
On a map drawn to a scale of 1 : 20000, a rectangular plot of land ABCD has AB = 32 cm and BC = 24 cm. Calculate :
(i) the diagonal distance of the plot in km,
(ii) the area of the plot in sq. km.
A model of a ship is made to a scale of 1 : 250. Find :
(i) the length of the ship, if the length of its model is 1.2 m.
(ii) the area of the deck of the ship, if the area of the deck of its model is 1.6 m2.
(iii) the volume of its model, when the volume of the ship is 1 cubic kilometer.
A model of a ship is made to a scale of 1 : 200.
(i) If the length of the model is 4 m, calculate the length of the ship.
(ii) If the area of the deck of the ship is 160000 m2, find the area of the deck of the model.
(iii) If the volume of the model is 200 litres, calculate the volume of the ship in cubic metres.