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 surface area of a solid metallic sphere is 2464 cm2. It is melted and recast into solid right circular cones of radius 3.5 cm and height 7 cm. Calculate:
- the radius of the sphere.
- the number of cones recast. (Take π = `22/7`)
Find the surface area of a sphere of diameter 21 cm.
If a sphere is inscribed in a cube, find the ratio of the volume of cube to the volume of the sphere.
If the ratio of volumes of two spheres is 1 : 8, then the ratio of their surface areas is
A sphere is placed inside a right circular cylinder so as to touch the top, base and lateral surface of the cylinder. If the radius of the sphere is r, then the volume of the cylinder is
The ratio between the volume of a sphere and volume of a circumscribing right circular cylinder is
A hemispherical and a conical hole is scooped out of a.solid wooden cylinder. Find the volume of the remaining solid where the measurements are as follows:
The height of the solid cylinder is 7 cm, radius of each of hemisphere, cone and cylinder is 3 cm. Height of cone is 3 cm.
Give your answer correct to the nearest whole number.Taken`pi = 22/7`.
How many lead balls of radii 1 cm each can be made from a sphere of 8 cm radius?
A solid metallic cylinder has a radius of 2 cm and is 45 cm tall. Find the number of metallic spheres of diameter 6 cm that can be made by recasting this cylinder .
The total area of a solid metallic sphere is 1256 cm2. It is melted and recast into solid right circular cones of radius 2.5 cm and height 8 cm. Calculate: the number of cones recasted [π = 3.14]
