calculate the surface area of the following prism
cuboid; 2cm 6cm 4cm
what is the surface area of the cuboid
The surface area is made up of pairs of rectangles,
front and back, top and bottom , and the two ends.
Surface area = 2(2x6) + 2(2x4) = 2(6x4)
= 24 + 16 + 48
= 88 cm^2
SA=ph + 2B
p=perimeter of base
h=height
B=area of base
SA=(16)(4) + 2(12)
SA=88
To calculate the surface area of a cuboid, you need to find the sum of the areas of all its faces.
A cuboid has six faces:
1. Top and bottom face: The length and width of the top and bottom faces are given as 2 cm and 4 cm respectively. So, the area of each face is 2 cm * 4 cm = 8 cm².
2. Front and back faces: The length and height of the front and back faces are given as 2 cm and 6 cm respectively. So, the area of each face is 2 cm * 6 cm = 12 cm².
3. Side faces: The width and height of the side faces are given as 4 cm and 6 cm respectively. So, the area of each face is 4 cm * 6 cm = 24 cm².
To find the total surface area, sum up the areas of all six faces:
Total surface area = 2 * (top and bottom face area) + 2 * (front and back face area) + 2 * (side face area)
= 2 * 8 cm² + 2 * 12 cm² + 2 * 24 cm²
= 16 cm² + 24 cm² + 48 cm²
= 88 cm²
Therefore, the surface area of the cuboid is 88 cm².
To calculate the surface area of a cuboid, you need to find the areas of all the individual faces and then add them up.
A cuboid has six faces: two identical square-shaped faces, and four identical rectangular-shaped faces.
The formula to find the surface area of a cuboid is:
Surface Area = 2(Area of Square Face) + 4(Area of Rectangle Face)
Given the dimensions of the cuboid as 2cm, 6cm, and 4cm, let's calculate the surface area.
1. Area of Square Face:
The cuboid has two square faces with sides of 2cm.
So, the area of one square face is side length multiplied by side length: 2cm * 2cm = 4cm².
2. Area of Rectangle Face:
The cuboid has four rectangular faces with dimensions 2cm, 4cm, and 6cm.
To find the area of one rectangle face, multiply the length by the width: 2cm * 4cm = 8cm².
Repeat this process for the other three rectangular faces.
3. Calculate Surface Area:
Now, substitute the values into the formula:
Surface Area = 2 * (4cm²) + 4 * (8cm²)
Calculating this equation:
Surface Area = 8cm² + 32cm²
Surface Area = 40cm²
Therefore, the surface area of the given cuboid with dimensions 2cm, 6cm, and 4cm is 40 square centimeters.