What is the are of an equilateral triangle of side 16 cm?
Answer: D
Area of an equilateral triangle = √3/4 S⊃2;
If S = 16, Area of triangle = √3/4 * 16 * 16 = 64√3 cm⊃2;
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2 cm thick 14 metal plates are kept exactly one above the other. On the top plate a hemisphere of diameter 6cm is kept. This just covers the top plate. What is the volume of the entire object?
Answer: D
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If base area of a room 12 m⊃2; and height is 3 m then its volume is:
Answer: B
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The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?
Answer: C
Let the length and the breadth of the floor be l m and b m respectively.
l = b + 200% of b = l + 2b = 3b
Area of the floor = 324/3 = 108 sq m
l b = 108 i.e., l * l/3 = 108
l2 = 324 => l = 18.
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If the dimensions of a room are I, b and h, (∴. l → length, l → breadth and h → hight) them which of the following is the area of its four walls?
Answer: A
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If the area of a circle, inscribed in an equilateral triangle is 4π cm⊃2;, then what is the area of the triangle?
Answer: A
Area of a circle = 4π cm⊃2;
πr⊃2; = 4π
r⊃2; = 4
r = 2 cm.
WKT, Radius of incircle = a/2√3
2 = a/2√3
a = 4√3.
WKT, Area of equilateral triangle = (√3/4)a⊃2;
Area of equilateral triangle = (√3/4)(4√3)⊃2;
= 12√3 cm⊃2;.
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A hemisphere is made of a sheet of a metal 1 cm thick. If the outer radius is 5 cm, what is the weight of the hemisphere (1 cm⊃3; of the metal weigh 9 g)?
Answer: B
Thickness the sheet of metal = 1 cm
Volume of sheet = 2/3π(5)⊃3; - 2/3π(4)⊃3;
= 122π/3
Weight of the hemisphere = (122π*9)/3
= 366π
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Find the area of a parallelogram with base 24 cm and height 16 cm.
Answer: B
Area of a parallelogram = base * height = 24 * 16 = 384 cm⊃2;
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Given that one cubic cm of marble weighs 25 gms, the weight of a marble block 28 cm in width and 5 cm thick is 112 kg. The length of the block is:
Answer: B
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If angle of sector is z° then formula used to calculate is
Answer: D
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