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 em 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
(11) 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 cm
(iii) 30 cm
(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 cm3
(ii) no, 10 cm3
*Improper answer will be reported
Answers
Given : Rini, Suchandra and Rai made a table with empty match boxes. They arranged 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.
To Find : How many match boxes are needed to make the table as shown in the figure?
What is the total volume of the match boxes
Solution:
6 match boxes are needed to make the table as shown in the figure
The length, breadth and height of the match box are 2.5 cm by 4 cm by 1.5 cm.
Volume of one match box = 2.5 * 4 * 1.5 = 15 cm³
Volume of 6 match box = 6 x 15 = 90 cm³
area of the boxes which are in contact with the floor
1.5 * 4 + 4 * 2.5 = 6 + 10 = 16 cm²
area is covered by the floor
= 4 * 2.5 * 3
= 30 cm²
surface area of the top of the table
= 4 * 2.5 * 3
= 30 cm²
two sides (left & right) does not have has same volume
difference = 4.* 2.5 * 1.5 * 3 - 4.* 2.5 * 1.5 = 15 cm³
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