Quiz Space

Mathematics for Data Science II · End Term · 3 Apr 2022 · January 2022 term

Question 9: A potter wants to make a rectangular box of volume 17 cub…

Question 9

+3 marksNumerical answer

A potter wants to make a rectangular box of volume 17 cubic units such that its total surface area is minimum. He successfully creates one of dimensions x, y, and z units. Find the value of x³ + z³. [Note: If the dimensions of a rectangular box are l, b, and h units, then volume of the box is V = lbh cubic units and the total surface area of the rectangular box is S = 2(lb + bh + lh) square units.] NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 34

See the whole paperTake it as a mock test

Question 9 of 20 in the IIT Madras BS Mathematics for Data Science II (Maths 2) End Term paper sat on 3 Apr 2022, in the January 2022 term (IIT M FOUNDATION DIPLOMA ENDTERM AN1 3 Apr 2022). It carries 3 marks.

More questions from this paper

  1. Q1Choose the correct options from the following:
  2. Q2Figure question
  3. Q3Choose the correct options from the following:
  4. Q4Choose the set of correct options.
  5. Q5Choose the correct statements for the function
  6. Q6Consider the following system of linear equations The number of solutions of the above system is
  7. Q7NOTE: Enter your answer to the nearest integer.
  8. Q8NOTE: Enter your answer to the nearest integer.
  9. Q10From the list of given terms find out the best possible options for each of the given subquestions: 1) Rank Limit Deter…
  10. Q11From the list of given terms find out the best possible options for each of the given subquestions: 1) Rank Limit Deter…
  11. Q12From the list of given terms find out the best possible options for each of the given subquestions: 1) Rank Limit Deter…
  12. Q13From the list of given terms find out the best possible options for each of the given subquestions: 1) Rank Limit Deter…
  13. Q14Which one of the following represents the equation of the tangent lines to the function ƒ at the point (1, 1) in the di…
  14. Q15The unit vector along which the rate of change of the function ƒ at (1, 1) is the maximum is
  15. Q16The number of critical points of the function ƒ is _.\ NOTE: Enter your answer to the nearest integer.
  16. Q17What is the rank of A?\ NOTE: Enter your answer to the nearest integer.
  17. Q18Which of the following sets forms a basis β of V1?
  18. Q19Which of the following sets forms a basis γ of V2?
  19. Q20Let T denote the linear transformation from V_1 to V_2, whose matrix representation with respect to the ordered bases \…