A rectangular box is 10 inches wide, 10 inches long and 5 inches high. What is the greatest possible (straight-line) distance, in inches, between any two points on the box?
(A)15
(B)20
(C)25
(D)10 x SQRT 2
(E)10 x SQRT 3
The OG has a convoluted answer about using the Pythagorean theorem twice. Thank you Manhattan GMAT for showing us the Deluxe Pythagorean Theorem. All you have to do is 10^2 + 10^2 + 5^2 which equals 225. Then just find the square root of that which will be 15. The Deluxe Pythagorean Theorem is simply a^2 + b^2 + c^2 = d^2. If someone knows of cases where you can't do this for the appropriate three dimensional solid, please feel free to correct me.
(A)15
(B)20
(C)25
(D)10 x SQRT 2
(E)10 x SQRT 3
The OG has a convoluted answer about using the Pythagorean theorem twice. Thank you Manhattan GMAT for showing us the Deluxe Pythagorean Theorem. All you have to do is 10^2 + 10^2 + 5^2 which equals 225. Then just find the square root of that which will be 15. The Deluxe Pythagorean Theorem is simply a^2 + b^2 + c^2 = d^2. If someone knows of cases where you can't do this for the appropriate three dimensional solid, please feel free to correct me.
