📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!


    Question

    Find the surface area of the smallest cube that can

    perfectly fit a sphere of volume 18432π cm3 inside it.  
    A 10584 cm² Correct Answer Incorrect Answer
    B 13824 cm² Correct Answer Incorrect Answer
    C 17496 cm² Correct Answer Incorrect Answer
    D 21600 cm² Correct Answer Incorrect Answer

    Solution

    Let the radius of the sphere be 'R' cm. 18432π = (4/3) x π x R3 Or, 13824 = R3 So, R = 24 So, length of edge of the cube = 24 x 2 = 48 cm Required area = 6 x 482 = 13824 cm2

    Practice Next

    Relevant for Exams:

    ask-question

    Not sure which exam is best for you Talk to our expert

    Get My Free Call