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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 7 - Mathematics
9.48 Surface Area of Cuboid - I

  1. Example:
    The length, width and height of a cuboid are 10 metres, 8 metres and 7 metres respectively. Find the lateral surface area of the cuboid.

    Solution:
    Given that,
    l = 10 metres, b = 8 metres and h = 7 metres
    Equation for lateral surface area = 2h (l+b).
    Substituting the values of l, b and h we get,
    = 2 * 7 (10 + 8)
    = 14 * 18
    = 252 square metres.

  2. Example:
    The width and height of a cuboid are 6 metres and 4 metres respectively. Find the length if the lateral surface area of the cuboid is given by 300 square metres.

    Solution:
    Given that,
    b = 6 metres and h = 4 metres
    Equation for lateral surface area = 2h (l+b).
    Substituting the values of b and h we get,
    = 2 * 4 (l + 6)
    Therefore 8 * (l + 6) = 300
    i.e 8l + 48 = 300
    i.e 8l = 300 - 48 = 252
    i.e l = 252 / 8
    Therefore l = 31.5
    Hence length of the cuboid is 31.5 metres.



Directions: Read the above example carefully and answer the following questions:

  1. The length of a cuboid is 5 more than the width and 3 less than the height. If the lateral surface area is given by 256 square metres, then find its length, width and height.
  2. The length, width and height of a cuboid is given by x, 3x and 5x. Then find the lateral surface area. Also find the area when x = 10 metres.



Q 1: The length, width and height of a cuboid are 19 metres, 9 metres and 2 metres respectively. Find the lateral surface area of the cuboid.
112 square metres
192 square metres
156 square metres
222 square metres

Q 2: The width and height of a cuboid are 10 metres and 6 metres respectively. Find the length if the lateral surface area of the cuboid is given by 264 square metres.
18 metres
12 metres
20 metres
16 metres

Q 3: The length, width and height of a cuboid are 17 metres, 9 metres and 4 metres respectively. Find the lateral surface area of the cuboid.
308 square metre
108 square metre
208 square metre
408 square metre

Q 4: The width and height of a cuboid are 10 metres and 6 metres respectively. Find the length of the cuboid if the lateral surface area is given by 288 square metres.
18 metres
12 metres
14 metres
19 metres

Question 5: This question is available to subscribers only!

Question 6: This question is available to subscribers only!


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