Mary wants to decorate her Christmas tree. She wants to place the tree on a wooden box covered with coloured paper with picture of Santa Claus on it.
She must know the exact quantity of paper to buy for this purpose. If the box has length, breadth and height as 80cm, 40cm, and 20cm respectively; How many square sheets of paper of side 40cm would she require?
Answers
Mary wants to decorate her Christmas tree. She wants to place the tree on a wooden box covered with coloured paper with picture of Santa Claus on it. She must know the exact quantity of paper to buy for this purpose. If the box has length, breadth and height as 80cm, 40cm, and 20cm respectively; How many square sheets of paper of side 40cm would she require?
→ Since, Mary wants to paste the paper on the outer surface of the box; the quantity of paper required would be equal to the surface area of the box which is of the shape of a cuboid. The dimensions of the box are :-
Length = 80cm,
Breadth = 40cm,
Height = 20cm.
The surface area of the box,
= 2(lb+ bh + hl)
= 2[(80 × 40) + (40 × 20) + (20 × 80)]cm²
= 2[3200 + 800 + 1600]cm²
= 2 × 5600cm²
= 11200cm²
The area of each sheet of the paper;
= 40 × 40cm²
= 1600cm²
Therefore, number of sheets required;
=
=
= 7
✓ Hence, she would require 7 sheets.
Thank You...!! :)
Answer:
7 sheets
Step-by-step explanation:
For getting the total measurement of the sheet required to completely cover the box , we need to find the total surface area of the box .
Length = 80 cm
Breadth = 40 cm
Height = 20 cm
Total surface area of a cuboid :
2[ (length x breadth) + (breadth x height) + (length x height)]
Substituting the values :
2 [ ( 80 x 40) + (40 x 20) + (20 x 80)]
Simplifying :
2 [ 3200 + 800 + 1600 ]
2 [ 5600 ]
2 x 5600
The product is = 11200 cm^2
The total surface area is 11200 sq.cm
Now , we need to find the total area covered by one single sheet of square.
Area = side x side
Area = 40 x 40
Area = 1600 sq.cm
Now , we need to divide TSA and Area =
11200 / 1600
= 7