Vidya wants to cover a gift box whose dimensions are 20 cm,30cm and 8cm. She has a piece of paper of area 1 metre square. Will she be able to cover the gift? Explain.
Surface area of the box = 2(lb + bh + lh)
Where l = 20 cm, b = 30 cm, h = 8 cm
=> A = 2[(20)(30) + (30)(8) + (20)(8)]
= 2(600 + 240 + 160)
= 2(1000)
= 2000 cm^2
= 0.2 m^2
Hence, she has enough paper.
Simple
Easy
Thanks
I am a student
thanks a lot
While finding the surface area of the box is helpful, it might not always be enough. You have to make sure that each dimension is such that the paper will actually fit.
In this case, all is well, since the longest dimension is 30cm, well within the 100cm length of the paper.
Then, wrapping it around the box, there is enough paper, since the girth is just 2(8+25) = 66cm, enough to allow the paper to wrap around and still have enough to overlap for taping.
I'm sure you can some up with a scenario where the area of the box is less than 1m^2 and still the paper will not do for wrapping it up.
Yes
To determine if Vidya will be able to cover the gift box, we need to compare the area of the piece of paper she has with the total surface area of the gift box.
The surface area of the gift box can be calculated by finding the sum of the areas of all its sides.
The dimensions of the gift box are given as 20 cm, 30 cm, and 8 cm. So, the area of each side can be calculated as follows:
1) The area of the first side (20 cm x 30 cm) = 600 square cm.
2) The area of the second side (20 cm x 8 cm) = 160 square cm.
3) The area of the third side (30 cm x 8 cm) = 240 square cm.
To find the total surface area, we add up the areas of all the sides:
Total surface area = 600 + 160 + 240 = 1000 square cm.
Now, let's convert the area of the piece of paper from square meters to square centimeters.
1 square meter = 10000 square centimeters.
Since the area of the paper is 1 square meter, it is equal to 10000 square centimeters.
Since the total surface area of the gift box is 1000 square centimeters, and the area of the paper is 10000 square centimeters, it is clear that the paper is more than enough to cover the gift box.
Therefore, Vidya will be able to cover the gift box with the piece of paper she has.