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After measuring 100m of a rope, it was discovered that the metre rod was 2cm longer. The true length of the rod is
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Explanation :
100*2 = 200cm measured long
Correct length = 100 – (200/100) = 100 -2 = 98m
A circle is drawn circumscribing a rectangle of sides 8cm and 6cm, find the area of the circle
Diagonal of rectangle = Diameter of circle
Diameter = √ (64+36) = 10
Radius = 5cm
Area of circle = 3.14*5*5 = 78.5cm2
If the sides of a equilateral triangle is increased by 10% , 30%and 60%then a new triangle is formed. By what % perimeter of the triangle is increased ?
Let a = side of the triangle
Perimeter = 3a
New perimeter = a*110/100 + a*130/100 + a*140/100
= a(11+13+16)/10 = 4a
% increased in perimeter = (4a – 3a/3a)*100
= 100/3 = 33.33%
If length, breadth and height of a hall is 14m,8m,8m then find the diagonal of the hall ?
Diagonal = √ (142+82+82)
= √ (196+64+64)
= √324
= 18m
The base and the other side of an isosceles triangle is 8cm and 12cm. Find its triangle ?
Area = b/4√ (4a2 –b2)
= 8/4√ (4*144 – 64)
= 2(22.6) = 45.2cm2
Find the area of sheet required to prepare an 60m height cone with base radius 32cm.
L = √(602 + 322) = 68
Area = 3.14*r(h+l)
Area of sheet = 3.14*32(60+68) = 12861.44 = 128612cm2
A hall is 80m long 65m wide. It has to be designed by tiles of 15m*10m. Find no of tiles required ?
Explanation :No of tiles = 80*65/15*10 = 5200/150 = 34.7 = 35
Find the cost of carpenting a room 12 m long and 7 m broad with a carpet 10m long and 6m wide and at the rate of Rs.150 per meter.
Area of the room = 12 × 7 => 84 m2
Area of carpet = 10*6 = 60 m2
Cost = (84/60)*150 = 210
The side of a cube is 13 cm, Find its surface area?
Explanation :Surface area = 6a2 = 6*13*13 = 1014cm2
The length of box 12 Cm long, 6 Cm breadth and 4Cm height. Find the maximum length of scale in that box?
Diagonal = √l2+b2+h2
= √122+62+42
= √196 => 14 Cm
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