A box has the shape of a rectangular prism with height 33 cm. If the height is increased by 0.2 cm, by how much does the surface area of the box increase?

Step-by-step explanation:

A box has the shape of a rectangular prism with height 33 cm.

height, h = 33 cm and length be l

Area of the prism,A1= 33l  ... (1)

Height is increased by 0.2 cm

h becomes 33.2 cm

Now area of the prism,A2 = 33.2l  =(33 + 0.2)l

                        A2      = A1 + 0.2l .. (2)

SUbtracting eq(1) and (2)

A2 - A1 = A1 + 0.2l - A1

  = 0.2l

The surface area of the box increases by 0.2l