Total surface area of a cuboid of length 4cm,width 5.7cm height 2cm
2(4*5.7 + 4*2 + 5.7*2) = ?
To find the total surface area of a cuboid, you need to find the sum of the areas of all its sides.
A cuboid has six sides - the top face, bottom face, front face, back face, left face, and right face.
To calculate the area of each side, you multiply the length of the side by its width.
Given the dimensions of the cuboid:
Length = 4 cm
Width = 5.7 cm
Height = 2 cm
To find the area of the top and bottom face, we multiply the length and width:
Area of the top and bottom face = Length x Width = 4 cm x 5.7 cm = 22.8 cm^2
To find the area of the front and back face, we multiply the height and width:
Area of the front and back face = Height x Width = 2 cm x 5.7 cm = 11.4 cm^2
To find the area of the left and right face, we multiply the length and height:
Area of the left and right face = Length x Height = 4 cm x 2 cm = 8 cm^2
Finally, to find the total surface area, you sum up the areas of all the sides:
Total Surface Area = 2(Area of the top and bottom face) + 2(Area of the front and back face) + 2(Area of the left and right face)
Total Surface Area = 2(22.8 cm^2) + 2(11.4 cm^2) + 2(8 cm^2)
Total Surface Area = 45.6 cm^2 + 22.8 cm^2 + 16 cm^2
Total Surface Area = 84.4 cm^2
Therefore, the total surface area of the given cuboid is 84.4 cm^2.