Question

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 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
plz right answer

Answer 1

Answer:

i.) 6

ii.) 90

Volume of cuboid= l*b*h

as THERE ARE 6 MATCH BOXES = 6(l*b*h)

6(2.5 * 4 *1.5 )

= 6*15

= 90

I am not sure about other parts

iii.)20

iv.) 30

v.) no, 30

Step-by-step explanation:

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Answer 2

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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