NTT Data Geometry, Coordinate Geometry Quiz -1

Perimeter = 2(l+b) =  2(13+7) = 40 meter

Area of Rectangle = 15 \times 7 = 105 cm^{2}

Area of Square = 15^{2} = 225 cm^{2}

Volume of Sphere  = \frac{4}{3}\times \pi\times r^{3}

= \frac{4}{3}\times \frac{22}{7}\times 7^{3} = \frac{4312}{3} cm^{3}

 

Length of floor = 500 cm

Breadth of the floor = 200 cm

Area of the floor = 500 \times 200 = 100000 cm^{2}

Area of the tile = 20^{2} = 400 cm^{2}

Number of tiles required = \frac{100000}{400} = 250

 

the sum of any 2 sides of a triangle must be greater than the measure of the third side.

So 4, 6, 8

The length of the largest pole = largest diagonal of cube

length of the largest pole = \sqrt{4^{2}+4^{2}+4^{2}} = \sqrt{48} = 4\sqrt{3}

the sum of any 2 sides of a triangle must be greater than the measure of the third side.

So 5, 6, 13

 

Total cost = 4200 x 5 = 21000 Rs

We know Volume of Sphere  = \frac{4}{3}\times \pi\times r^{3}

Volume of First Sphere = \frac{4}{3}\times \pi\times 2^{3}

Volume of Second Sphere =  \frac{4}{3}\times \pi\times 3^{3}

Ratio = 8 : 27