A metalic sheet of rectangular shape with 48m*36m from each of it corner a square is cut off so as to make an open box. if length of each square length is 8m find the volume of the open box ????

question is not so clear

but i think d box will b open @ both ends and hence wont have a volume.
Bt nonetheless, solving it like dat
volume of cube=l^3
=8^3=192

To find the volume of the open box, we need to calculate the volume of the rectangular base and subtract the volume of the four squares.

Step 1: Calculate the volume of the rectangular base:
The rectangular shape has dimensions 48m * 36m, so the length, width, and height of the rectangular base of the box will be as follows:
Length = 48m - 2 * 8m (subtracting the width of two squares from the original length)
Width = 36m - 2 * 8m (subtracting the width of two squares from the original width)
Height = 8m (height of the box)

Substituting the values:
Length = 48m - 2 * 8m = 48m - 16m = 32m
Width = 36m - 2 * 8m = 36m - 16m = 20m
Height = 8m

The volume of the rectangular base can be calculated by multiplying the length, width, and height:
Volume of rectangular base = Length * Width * Height = 32m * 20m * 8m = 6,400 cubic meters (m^3)

Step 2: Calculate the volume of the four squares:
Each square cut from the corners has a side length of 8m. Since there are four corners, there are four squares.

The volume of one square can be calculated by raising the side length to the power of 3 (since it's a cube):
Volume of one square = Side length * Side length * Side length = 8m * 8m * 8m = 512 cubic meters (m^3)

Since there are four squares, the total volume of the squares would be:
Total volume of squares = 4 * Volume of one square = 4 * 512 cubic meters (m^3) = 2,048 cubic meters (m^3)

Step 3: Calculate the volume of the open box:
To find the volume of the open box, we subtract the volume of the four squares from the volume of the rectangular base:
Volume of open box = Volume of rectangular base - Total volume of squares
Volume of open box = 6,400 cubic meters (m^3) - 2,048 cubic meters (m^3) = 4,352 cubic meters (m^3)

Therefore, the volume of the open box is 4,352 cubic meters (m^3).