Question

(a) How many match boxes are needed to make the table as shown in the
figure?
(1) 7
(ü) 6
(in) 8
(iv) 5
16) What is the total volume of the match boxes?
90 cm3 (i) 105 cm3 (EL) 75 cm3
( 15 cm3
Find the area of the boxes which are in contact with the floor?
(9 20cm2 (i) 13.75 cm2 (m) 30 cm2
(iv) 10 cm2
(d)
What is the surface area of the top of the table?
(9) 30 cm2 (1) 10 cm2 (ii) 100 cm2 (iv) 60 cm2​

Answer 1

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

surface area of the top of the table

= 4 * 2.5 * 3

= 30  cm²

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