A rectangular box is 30 cm long, 25 cm wide, and 20 cm tall.

a) Sketch the box.
b) Write the dimensions of the box on your sketch. c) Find the area of each face of the box. d) The box has a lid. Mark it on your sketch. What are the dimensions of the face that is the lid?
e) Find the surface area of the box without the lid.

a)

-------------
| |
| |
| |
| |
| |
| | 20 cm
| |
| |
| |
| |
-------------
30 cm

b) The dimensions are labeled on the sketch.

c) Area of front and back face: 30 cm x 20 cm = 600 cm^2
Area of left and right face: 25 cm x 20 cm = 500 cm^2
Area of top and bottom face: 30 cm x 25 cm = 750 cm^2

d) The lid is on the top face. Its dimensions are 30 cm x 25 cm.

e) Surface area without the lid: (2 x 600 cm^2) + (2 x 500 cm^2) + (2 x 750 cm^2) = 3000 cm^2