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

Respuesta :

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