Squares each of side 6 cm are cut off from the four corners of the sheet of tin measuring 4 square by 30cm. The remaining sheet of the tin is made into an open box by floading up the flaps. Find the volume of the open box so formed

Answer: 1728 cm³

Step-by-step explanation:

Length of the tin sheet is 30 cm. Since 6 cm is cut off of EACH end, then the box will have a length of: 30 - 2 (6)

= 30 - 12

= 18

Width of the tin sheet is 4² cm. Since 6 cm is cut off EACH end, then the box will have a width of: 4² - 2 (6)

= 16 - 12

= 4

Height of the box is the amount being cut off each end, so height is 6 cm

Volume = Length · width · height

= 18cm · 4cm · 24cm

= 1728 cm³