Advertisements
Advertisements
प्रश्न
On a map drawn to a scale of 1: 50,000, a rectangular plot of land ABCD has the following dimensions. AB = 6 cm; BC = 8 cm and all angles are right angles. Find:
1) the actual length of the diagonal distance AC of the plot in km.
2) the actual area of the plot in sq. km.
Advertisements
उत्तर
Scale: 1:50000
1 cm represents 50000 cm = `50000/(1000xx100)` = 0.5km
1) In ΔABC, by pythagoras theorem
AC2 = AB2 + BC2 = 62 + 82 = 36 + 64 = 100
⇒ AC = 10 cm
⇒ Actual length of diagonal AC = 10 x 0.5 = 5 km
2) 1 cm = 0.5 km
`=> 1 cm^2 = 0.25 km`
Area of rectangle ABCD = AB x BC = 6 x8 = 48 cm2
⇒ Actual area of a plot = 48 x 0.25 = 12 km2
APPEARS IN
संबंधित प्रश्न
The radius of a spherical balloon increases from 7 cm to 14 cm as air is being pumped into it. Find the ratio of surface areas of the balloon in the two cases.
A right circular cylinder just encloses a sphere of radius r (see figure). Find
- surface area of the sphere,
- curved surface area of the cylinder,
- ratio of the areas obtained in (i) and (ii).
Find the surface area of a sphere of diameter 14 cm.
The surface area of a sphere is 5544 `cm^2`, find its diameter.
Total volume of three identical cones is the same as that of a bigger cone whose height is 9 cm and diameter 40 cm. Find the radius of the base of each smaller cone, if height of each is 108 cm.
The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 0.2 cm. Find the length of the wire.
If a sphere is inscribed in a cube, find the ratio of the volume of cube to the volume of the sphere.
The ratio between the volume of a sphere and volume of a circumscribing right circular cylinder is
The radius of a sphere is 9 cm. It is melted and drawn into a wire of diameter 2 mm. Find the length of the wire in metre.
The internal and external diameters of a hollow hemi-spherical vessel are 21 cm and 28 cm respectively. Find volume of material of the vessel.
