Mathematics
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:
(i) How many match boxes are used to make the table ?
(ii) What is the floor are covered by the table ?
(iii) What is the surface area of the top of the table ?
(iv) What is the total volume of the table ?
Mensuration
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Answer
Given,
Each matchbox size = 6 cm × 4 cm × 1.5 cm
(i) Total number of match boxes used to make table are:
Left support (leg) = 2 boxes
Middle span (the top) = 1 box
Right support(drawers) = 3 boxes
Total = 2 + 1 + 3 = 6 boxes.
Hence, total number of match boxes used to make the table = 6 boxes.
(ii) Area of one base = 6 × 4 = 24 cm2
Since there are two bases:
The area covered by left section : 6 × 1.5 = 9 cm2
The area covered by right section : 6 × 4 = 24 cm2
Total floor area covered by the table = 9 + 24 = 33 cm2.
Hence, total floor area covered by the table = 33 cm2.
(iii) Area of one base = 6 × 4 = 24 cm2.
Since three distinct sections (left, middle, right) make up the table.
So,
Total surface area of table = 3 × 24
= 72 cm2.
Hence, total surface area of the top of the table = 72 cm2.
(iv) Since matchbox is in cuboid shape.
So, Volume of cuboid = l × b × h
= 6 × 4 × 1.5
= 36 cm3.
Total matchboxes required to make a table = 6
∴ Volume of the table = 6 × 36 = 216 cm3.
Hence, volume of the table = 216 cm3.
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