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?

Answer:The surface area of the box increases by 0.2l

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