I bought a gift wrapping paper whose length is 1 m and breadth is 20 cm if I wants to wrap a box in the shape of a cube with an edge measuring 15 cm how much paper will be left with me.
Very bad
To calculate how much paper will be left after wrapping the cube-shaped box, we need to determine the total surface area of the box and compare it to the area of the gift wrapping paper.
1. Calculate the surface area of the cube:
Since all sides of a cube have equal length, we can find the surface area by multiplying the length of one side by itself and then multiplying by 6, as a cube has 6 faces.
Surface area = 6 * (side length)^2
Surface area = 6 * (15 cm)^2
Surface area = 6 * 225 cm^2
Surface area = 1350 cm^2
2. Calculate the area of the gift wrapping paper:
The length of the paper is given as 1 meter, which is the same as 100 centimeters. The breadth is given as 20 centimeters.
Area of the paper = Length * Breadth
Area of the paper = 100 cm * 20 cm
Area of the paper = 2000 cm^2
3. Calculate the remaining paper:
To find the amount of paper left, subtract the surface area of the cube from the area of the paper.
Remaining paper = Area of the paper - Surface area of the cube
Remaining paper = 2000 cm^2 - 1350 cm^2
Remaining paper = 650 cm^2
Therefore, you will have 650 cm^2 of paper left after wrapping the cube-shaped box.
Ap=L*W = 100cm * 20cm=2000 cm^2 = Area of the paper.
As = 2(W*h) + 2(L*h) + 2(L*W) =
Surface area box.
As=2(15*15) + 2(15*15) + 2(15*15)
= 6(15^2) = 1350 cm^2.
Ap-As = 2000 - 1350 = 650 cm^2 Left.