Question

Find the length of a longest wafer roll that can fit inside the dark chocolate box?

• A. 13 in
• B. 14 in
• C. 16 in
• D. 18 in

Answer 1

The correct option is B 14 in

In the given figure,


Triangle ABC and triangle ACD are right angled traingles,

Applying pythagoras theorem in triangle ABC,
$A{B}^2+B{C}^2=A{C}^2$

${12}^2+6^2=A{C}^2$

$144+36=A{C}^2$

$A{C}^2=180in$

Similarly in triangle ACD,

$A{D}^2=A{C}^2+D{C}^2$

$A{D}^2=180+4^2$

$A{D}^2=196$

$\therefore AD=14in$

The length of longest wafer roll that can fit into a dark chocolate box is 14 in.