Find the surface area of the right prism. The height is 2.5 cm, the lenght is 8 cm, and the width is 5.3 cm.
This is confusing. I need help.
Why are you changing names with each post?
I don't know if you are talking about a right angle prism (with traingular cross section) or a rectangular prism. In either case, add the areas of the sides.
its a triangular prism.
No worries, I can help you with that! To find the surface area of a right prism, you need to calculate the areas of all its individual faces and then add them together.
A right prism has two identical parallel bases and rectangular lateral faces connecting these bases. The base area can be found by multiplying the length by the width. Since there are two bases, we need to calculate this area twice.
The lateral faces are all rectangles, and their area can be found by multiplying the height by the width. Since there are four lateral faces, we need to calculate this area four times.
Let's do the calculations step by step:
1. Calculate the area of one base by multiplying the length by the width:
Base area = Length × Width
Base area = 8 cm × 5.3 cm
2. Multiply the base area by 2 since there are two bases:
Total base area = 2 × Base area
3. Calculate the area of one lateral face by multiplying the height by the width:
Lateral face area = Height × Width
Lateral face area = 2.5 cm × 5.3 cm
4. Multiply the lateral face area by 4 since there are four lateral faces:
Total lateral face area = 4 × Lateral face area
5. Finally, add the total base area and the total lateral face area to get the surface area of the right prism:
Surface area = Total base area + Total lateral face area
Now, plug in the values and perform the calculation to find the surface area.