A rectangular prism is 4.8 centimeters long, 16 centimeters wide, and 14 centimeters high. What is the surface area of the rectangular prism?
If I add it up what do I add or multiply
2 ends are 16*14
2 sides are 4.8*14
top and bottom are 4.8 * 16
so
2(16*14 + 4.8*14 + 4.8*16)
To find the surface area of a rectangular prism, you need to calculate the area of each of its six faces and then add them together.
Step 1: Identify the six faces of the rectangular prism.
In this case, the rectangular prism has the following faces:
- Two bases (top and bottom), each measuring 4.8 cm by 16 cm.
- Two side faces, each measuring 4.8 cm by 14 cm.
- Two end faces, each measuring 16 cm by 14 cm.
Step 2: Calculate the area of each face.
To calculate the area of each face, multiply the length by the width of each face.
- Area of each base: 4.8 cm * 16 cm = 76.8 cm²
- Area of each side face: 4.8 cm * 14 cm = 67.2 cm²
- Area of each end face: 16 cm * 14 cm = 224 cm²
Step 3: Add up the areas of all six faces.
To find the total surface area, add up the areas of all six faces.
Total Surface Area = 2 * Area of each base + 2 * Area of each side face + 2 * Area of each end face
Total Surface Area = 2 * 76.8 cm² + 2 * 67.2 cm² + 2 * 224 cm²
Total Surface Area = 153.6 cm² + 134.4 cm² + 448 cm²
Total Surface Area = 736 cm²
Therefore, the surface area of the rectangular prism is 736 cm².