Ramnath and Company was celebrating Silver Jubilee celebrations and the authorities wanted to present a Square cardboard momento fitted with decorative pins on all the four sides. They fitted 36 decorative pins with 1 cm distance between any two pins and with equal number of pins when counted on any side. Find the dimension of the cardboard.
To find the dimension, we have to find the number of pins on each of the sides of the square cardboard.
Similar to solutions of previous questions, there will be 4 corner pins. Corner pins when added with pins on edges should amount to 36 as given. Let the number of pins in between the corner pins on each of the edges be x.
Total Pins = 4 corner pins + 4 x number of pins on each of the edges in between corner pins
36 = 4 + 4x
32 = 4x or 8 = x
Therefore number of pins on any of the edge = 2 corner pins + 8 pins in between the corner pins = 10 pins.
Distance between each of the pins is 1 cm. Therefore the length of each of the sides = 9cm. Dimension of the square = 9 cm X 9 cm
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9
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22
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A triangle is made from a rope. The sides of the triangle are 21 cm, 24 cm and 28 cm. What will be the area of the square made from the same rope?
add all sides 25+11+31 to get rope length rope length =67,rope is made in to as square
So side of square is 67/4=16.75 and so area is 16.75*16.75=280.5625
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One man want to build a wall .The length and breadth of the wall are 20 and 30 respectively. He need 35 bricks for one square centimeter then how many bricks he need?
35 bricks are needed for 1 cm^2 therefore for 600 cm^2 …… 35* 600 = 21000 required.
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Raj drives slowly along the perimeter of a rectangular park at 24 kmph and completes one full round in 4 minutes 30 seconds. If the ratio of the length to the breadth of the park is 5 : 7, what are its dimensions?
There is a pool of radius X and there is a pathway around the pool with a width of 4 feet. Find the radius of the pool if the path area/ pool area=11/25.
After cutting into four pieces we have each piece having two semicircular planes perpendicular to each other giving a (unpainted)surface area of pi*r^2..hence ratio is 1:1
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2
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13
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If the depth of a tree is 3 levels, then what is the size of the Tree?
Let A=a^2 means side of sqr=a
for inner sqr side=sqrt(a^2/4+a^2/4)=a/sqrt(2)
area of inner=a/sqrt(2)*a/sqrt(2)=a^2/2=A/2
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NA
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6
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14
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20
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A thermal chimney of circular cross section has outer and inner radii of 3m and 2m respectively. Find the cost of cement finishing for the inner and outer surface at Rs20 per sq.meter, if the height of the chimney is 56m.
A store owner is packing small radios into larger boxes that measure 25 in. by 42 in. by 60 in. If the measurement of each radio is 7 in. by 6 in. by 5 in., then how many radios can be placed in the box?
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