ЁЯУв Too many exams? DonтАЩt know which one suits you best? Book Your Free Expert ЁЯСЙ call Now!

    Question

    The sum of the total surface areas of two cubes is 1512

    cm2. If the product of the length of their edges is 113.5 cm2, then find the difference (in cm) between the lengths of their edges.
    A 4 cm Correct Answer Incorrect Answer
    B 6 cm Correct Answer Incorrect Answer
    C 5 cm Correct Answer Incorrect Answer
    D 7 cm Correct Answer Incorrect Answer

    Solution

    Let the length of the edges of the two cubes be тАШaтАЩ cm and тАШbтАЩ cm, respectively According to the question, 6a2 + 6b2 = 1512 Or, a2 + b2 = 1512/6 = 252 And, ab = 113.5 Using the formula, ┬а x2 + y2 = (x тАУ y)2 + 2xy 252 = (a тАУ b)2 + 2 ├Ч 113.5 Or, (a тАУ b)2 = 252 тАУ 227 Or, (a тАУ b)2 = 25 Or, a тАУ b = ┬▒5 So desired difference = 5 cm┬а

    Practice Next
    More Cube & cube roots Questions

    Relevant for Exams:

    ask-question