Advanced Math practice question

Answer: 54

Surface area = 2s² + 4(s)(2s) = 10s² = 90, so s = 3 and the height is 6. Volume = 3 × 3 × 6 = 54.

Common wrong answers

If you answered 18

18 is s × 2s, the area of a side face.

If you answered 27

27 is s³, using the wrong height.

If you answered 108

108 doubles the volume.

More Advanced Math questions

• Very hard
  The function f(x) = x² + 6x + 5 is rewritten in the form f(x) = (x + a)² + b. What is the value of b?
• Very hard
  What is the solution to the equation 6/(x − 2) = 3?
• Very hard
  The polynomial p(x) = x³ − 4x has how many distinct real zeros?
• Very hard
  The polynomial p is defined by p(x) = x³ + ax² + bx − 12, where a and b are constants. If x − 2 is a factor of…
• Very hard
  The function f, defined by f(x) = 3000(1.331)^(x/12), gives the value, in dollars, of an investment x months a…
• Very hard
  In the xy-plane, the parabola y = x² − 4x + 7 and the line y = mx − 2, where m is a constant, intersect at exa…