Question

How many rectangles does a 5 x 5 square have?

• A. $1^3$ + $2^3$ + $3^3$ + $4^3$ + $5^3$
• B. $1^3$ + $2^3$ + $3^3$
• C. $1^3$ + $2^3$
• D. $5^3$

Answer 1

The correct option is A $1^3$ + $2^3$ + $3^3$ + $4^3$ + $5^3$

Any NxN square has $1^3$ + $2^3$ + $3^3$ +.....+ $N^3$ rectangles.
$\therefore$ A 5 x 5 square has
$1^3$ + $2^3$ + $3^3$ + $4^3$ + $5^3$ rectangles. Here N = 5