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 cm3 (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 cm3 (ii) no, 10 cm3
(iii) no, 6 cm3 (iv) yes, same volume
pls give right answer
Answers
Answer:
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 cm3 (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 cm3 (ii) no, 10 cm3
(iii) no, 6 cm3 (iv) yes, same volume
pls give right
Answer:
The dimensions of match box are 4 cm×2.5 cm×1.5 cm
∴ length =4 cm
breadth =2.5 cm
height =1.5 cm
Now,
Volume of = length × breadth × height
One match box =4 cm×2.5 cm×1.5 cm
=15 cm 3
∴ Volume of one match box =15 cm 3
⇒ Volume of 12 match boxes +12× Volume of one match box
=12×15 cm 3
=180 cm 3
∴ Volume of packet containing 12 match boxes =180 cm 3
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