Case study based questions are compulsory. Attempt any four subparts of each question.
Each subpart carries 1 mark.
17. Rini, Suchandra and Rai made a table with empty
match boxes. They coloured the boxes in such
a way that the toy table looks like a table. They
made drawers with handle. All the match boxes are
identical. The length, breadth and height of the match
box are 2.5 cm by 4 cm by 1.5 cm.
(a) How many match boxes are needed to make the
table as shown in the figure?
(i) 7
(ii) 6
(iii) 8
(iv) 5
(b) What is the total volume of the match boxes?
(i) 90 cm3
(ii) 105 cm
(iii) 75 cm3
(iv) 15 cm3
(c) How much area is covered by the floor?
(i) 20cm2
(ii) 100 cm2
(iii) 30 cm2
(iv) 10 cm2
(d) What is the surface area of the top of the table?
(i) 30 cm2
(ii) 10 cm2
(iii) 100 cm2 (iv) 60 cm2
(e) Is the table steady? Are the two sides (left & right) has same volume? What
is the volume difference?
(i) no, 30 cm
(ii) no, 10 cm3
(iii) no, 6 cm3
(iv) yes, same volume
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Answer:
(a) (ii) 6 ( With a piece of the seventh matchbox )
(b) (i) 90 cm³
(c) (i) 20 cm² ( According to the figure , it's actually 16 cm² ! )
(d) (i) 30 cm²
(e) Actually there is a difference of 15 cm³
Step-by-step explanation:
Doesn't fit for 5 points !
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