Squares, each of side 6 cm are cut off from the four corners of a sheet of tin measuring 42 cm by 30 cm. The remaining portion of the tin sheet is made into an open box by folding up the flaps. Find the capacity of the box formed.

Dimensions of the tin sheet = 42 cm x 30 cm

Side of the square cut from each corner = 6 cm

After cutting out the squares, the new dimensions of the box will be:

length = 42 - 6 - 6 = 42 - 12 = 30 cm

breadth = 30 - 6 - 6 = 30 - 12 = 18 cm

height = 6 cm

The capacity (volume) of the box is given by:

Volume = l x b x h

= 30 x 18 x 6

= 3240 cm³

Hence, the capacity of the box = 3240 cm³.