Question

You have a rectangular sheet 12cm×9cm. What is the side of the largest cube whose net you can cut out of this rectangle.​

Answer 1

Step-by-step explanation:

$12 \times 9 = 108 \\ 108 = a4 \\ 108 \div 4 = a \\ 27 = a$

Answer 2

The side of the largest cube whose net we can cut out of this rectangle= 15 cm

Step-by-step explanation:

The largest side of the rectangular side is the diagonal of the rectangle.

Therefore the diagonal of the rectangle =$\sqrt{12^{2}+ 9^{2} }$

=$\sqrt{144+81}$ cm

=$\sqrt{225}$ cm

=15 cm

Therefore the side of the largest cube whose net we can cut out of this rectangle= 15 cm