kwizNET Subscribers, please login to turn off the Ads!
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 7 - Mathematics
9.49 Surface Area of Cuboid - II

  1. Example:
    The length, breadth and height of a cuboid are 16 metres, 14 metres and 10 metres respectively. Find the total surface area of the cuboid.

    Solution:
    Given that,
    l = 16 metres, b = 14 metres and h = 10 metres.
    Equation for total surface area = 2 (l*b + b*h + h*l)
    = 2 (16*14 + 14*10 + 16*10)
    = 2 (224 + 140 + 160)
    = 2 (524)
    = 1048 square metres.

  2. Example:
    The width and height of a cuboid are 13 metres and 12 metres respectively. Find the length if the lateral surface area of the cuboid is given by 1600 square metres.

    Solution:
    Let 'x' be the length.
    Given that,
    b = 13 metres and h = 12 metres
    Equation for total surface area = 2 (l*b + b*h + h*l)
    Substituting the values of b and h we get,
    1600 = 2 (x*13 + 13*12 + 12*x)
    i.e 1600 = 2 (13x + 156 + 12x)
    i.e 1600 = 2 (25x + 156) = 50x + 312
    i.e 50x = 1600-312 = 1288.
    Therefore x = 1288/50 = 25.76.
    Hence length of the cuboid is 25.76 metres.



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

  1. The length of a cuboid is 2 more than the width and 3 less than the height. If the ltotal surface area is given by 1126 square metres, then find its length, width and height.
  2. The length, width and height of a cuboid is given by 3x, 2x and 5x. Then find the total surface area. Also find the area when x = 2 metres.



Q 1: The length and width and height of a cuboid are 16 metres, 14 metres and 12 metres respectively. Find the height if the total surface area of the cuboid is given by 1168 square metres.
7 metres
11 metres
21 metres
12 metres

Q 2: The length, width and height of a cuboid are 20 metres, 15 metres and 10 metres respectively. Find the total surface area of the cuboid.
1600 square metres
1300 square metres
1500 square metres
1400 square metres

Q 3: The length and height of a cuboid are 8 metres and 4 metres respectively. Find the width if the total surface area of the cuboid is given by 208 square metres.
11 metres
9 metres
6 metres
4 metres

Q 4: The length and height of a cuboid are 12 metres and 10 metres respectively. Find the width if the total surface area of the cuboid is given by 724 square metres.
8 metres
6 metres
11 metres
5 metres

Question 5: This question is available to subscribers only!

Question 6: This question is available to subscribers only!


Subscription to kwizNET Learning System offers the following benefits:

  • Unrestricted access to grade appropriate lessons, quizzes, & printable worksheets
  • Instant scoring of online quizzes
  • Progress tracking and award certificates to keep your student motivated
  • Unlimited practice with auto-generated 'WIZ MATH' quizzes
  • Child-friendly website with no advertisements
  • Choice of Math, English, Science, & Social Studies Curriculums
  • Excellent value for K-12 and ACT, SAT, & TOEFL Test Preparation
  • Get discount offers by sending an email to discounts@kwiznet.com

Quiz Timer