Answer to Question #200599 in Geometry for MAE

Question

How many cubic cm of wood are required to build a box without a lid (cover) if the wood is 1cm. thick and if the internal length, breadth and depth of the box are 30cm, 15cm and 25cm, respectively? 

Answer 1

External length of the cuboid = 30 cm

External breadth of the cuboid = 25 cm

External height of the cuboid = 25 cm

Therefore, External volume of the cuboid = (30 × 25 × 20) cm³

                            = 15000 cm³

Therefore, Internal volume of the cuboid = (28 × 23 × 18) cm³

                            = 11592 cm³

Therefore, Volume of wood = External Volume - Internal Volume

= 15000 cm³ - 11592 cm³

= 3408 cm³