calculate the surface area of the following prism
cuboid; scm 6cm 4cm
what is the surface area of the cuboid
http://en.wikipedia.org/wiki/Cuboid
Surface area: 2*6*4+2*s*6+2*s*4 this is the sum of the area of all six sides.
To calculate the surface area of a cuboid, we need to find the area of each face and then sum them up.
In this case, the given dimensions of the cuboid are:
Length = 6 cm
Width = 4 cm
Height = 4 cm
To find the surface area, we need to calculate the area of each face:
1. Top and bottom faces (which are the same size):
The area of each top and bottom face is equal to the length multiplied by the width. So, the area of both faces combined is 2 times the length times the width.
Area of top and bottom faces = 2 * (Length * Width)
2. Side faces:
There are two side faces, and each side face has an area equal to the length multiplied by the height. So, the area of both side faces is 2 times the length times the height.
Area of side faces = 2 * (Length * Height)
3. Front and back faces (which are the same size):
The area of each front and back face is equal to the width multiplied by the height. So, the area of both faces combined is 2 times the width times the height.
Area of front and back faces = 2 * (Width * Height)
Now, we can add up the areas of all the faces to find the total surface area:
Total surface area = Area of top and bottom faces + Area of side faces + Area of front and back faces
Total surface area = 2 * (Length * Width) + 2 * (Length * Height) + 2 * (Width * Height)
Using the given dimensions:
Length = 6 cm
Width = 4 cm
Height = 4 cm
Total surface area = 2 * (6 cm * 4 cm) + 2 * (6 cm * 4 cm) + 2 * (4 cm * 4 cm)
Total surface area = 2 * (24 cm²) + 2 * (24 cm²) + 2 * (16 cm²)
Total surface area = 48 cm² + 48 cm² + 32 cm²
Total surface area = 128 cm²
Therefore, the surface area of the given cuboid is 128 square centimeters (cm²).