Question

Study the following picture of a study table made by Rohan for his SUPW project with match boxes of each dimension 6 cm by 4 cm by 1.5 cm.

Answer the following:

1. How many match boxes are used to make the table?
2. What is the floor area covered by the table?
3. What is the surface area of the top of the table?
4. What is the total volume of the table?

Answer 1

Let the dimensions of a single matchbox be l = 6 cm, b = 4 cm, and h = 1.5 cm.

1. The match boxes that are used to make the table is total number of matchboxes is 120.
2. The floor area corresponds to the base dimensions of the table formed by the matchboxes. Looking at the structure:
   • Base length = 6 × matchbox length components
   • Base width = matchbox breadth components
     \[\text{Floor Area} = \text{Base Length} \times \text{Base Breadth}\]
3. The top surface is made up of the top faces of the matchboxes arranged on the surface layer.
4. Total Volume = Number of match boxes × Volume of one match box
   • Volume of one match box = 6 cm × 4 cm × 1.5 cm = 36 cm³
   • Using the total count of 120 matchboxes:
     Total Volume = 120 × 36 cm³ = 4,320 cm³