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Mensuration Test 3
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Mensuration Test 3
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  • Question 1/10
    1 / -0

    The area of a rectangular field is 3375 m2 and its length and breadth are in the ratio 5:3. Find the breadth ?

    Solutions

    Explanation :

    5x × 3x = 3375

    15x2 = 3375

    x2 = 3375/15 = 225

    x = 15

    3x = 3*15 = 45

     

  • Question 2/10
    1 / -0

    The perimeter of a square is twice the perimeter of a rectangle. If the perimeter of a square is 48cms and the length of the rectangle is 7cm. Find the breadth of the rectangle?

    Solutions

    Explanation :

    P of Square = 4a = 48

    A = 48/4 = 12cm

    P of rectangle = 48/2 = 24cm =2(l+b)

    2(7+b) = 24

    B = 12-7 = 5

     

  • Question 3/10
    1 / -0

    The area of a square is 7sqm less than half of the area of a rectangle. The length of the rectangle is 14m and breadth is 6m less than its length. What is the perimeter of the square ?

    Solutions

    Explanation :

    L = 14, b = 8

    L*b = 14*8 = 112

    Area of square = (112/2) – 7 = 56-7 = 49

    A = 7

    Perimeter = 4a = 4*7 = 28cm

     

  • Question 4/10
    1 / -0

    A cow is tethered to a peg with 7m long rope at the corner of a 35m long and 20m wide rectangular grass field, What area of the field will the cow graze ?

    Solutions

    Explanation :A = ¼(3.14r2) = (3.14*7*7)/4 = 38.47m2

     

  • Question 5/10
    1 / -0

    Inside a square plot a circular garden is developed which exactly fits in the square plot and the diameter of the garden is equal to the side of the square plot which is 14m. What is the area of space left out in the square plot after developing the garden ?

    Solutions

    Explanation :

    area of space left  = 14*14 – (3.14*7*7)

    = 196 – 153.86

    = 42.14 = 42m2

     

  • Question 6/10
    1 / -0

    The length of a rectangular floor is twice its breadth. If Rs.624 is required to paint the floor at the rate of Rs.8 psm. What is the breadth of the floor ?

    Solutions

    Explanation :

    Area = 624/8 = 78 m2

    2x × x = 78

    2x2 =78

    x2 =78/2 = 39

    x= 6.24

     

  • Question 7/10
    1 / -0

    5m radius and 12m height solid metallic cylinder is melted and recast into small spherical balls of radius 5m. Find the no of cubes that can be made ?

    Solutions

    Explanation :

    Volume of cylinder = volume of cube

    (3.14*5*5*12) = N(4/3*3.14*5*5*5)

    N = (12*3)/(4*5) = 1.8 = 2

     

  • Question 8/10
    1 / -0

    2 cubes have their volume in the ratio 1:8, find the ratio of their surface area ?

    Solutions

    Explanation :

    a3 :b3  = 1:8

    a:b = 1:2

    Surface area = 6a2 : 6b2  = 1:4

     

  • Question 9/10
    1 / -0

    A square field has an area  of 7396 sq m,find the cost of fencing around it at Rs.22 per meter ?

    Solutions

    Explanation :

    a2  = 7396

    a = 86

    length of wire = 4*86 = 344

    cost = 344*22 = Rs.7568

     

  • Question 10/10
    1 / -0

    How many marbles of 10cm length and 7cm width are required to pave the floor of room 7m length and 4m breadth ?

    Solutions

    Explanation :

    Area of floor = 700*400 = 280000

    Area of marble = 10*7 = 70

    N = 280000/70 = 4000

     

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