The net of a rectangular prism is shown. What is the surface area of the rectangular prism?
• 208 cm.
• 306 cm.
• 101 cm.-
• 138 cm.
To find the surface area of the rectangular prism, we need to calculate the area of each individual rectangle on the net and then add them all together.
Looking at the net of the rectangular prism, we can see that there are six rectangles:
- 2 rectangles with dimensions 6 cm by 8 cm
- 2 rectangles with dimensions 6 cm by 5 cm
- 2 rectangles with dimensions 5 cm by 8 cm
First, let's calculate the area of each rectangle:
1. Area of the rectangle with dimensions 6 cm by 8 cm: 6 cm x 8 cm = 48 cm²
2. Area of the rectangle with dimensions 6 cm by 5 cm: 6 cm x 5 cm = 30 cm²
3. Area of the rectangle with dimensions 5 cm by 8 cm: 5 cm x 8 cm = 40 cm²
Now, let's add up the areas of all six rectangles:
48 cm² + 48 cm² + 30 cm² + 30 cm² + 40 cm² + 40 cm² = 236 cm²
Therefore, the surface area of the rectangular prism is 236 cm². None of the provided options match this calculation, so none of the given options is correct.