Question

Using the net of the prism shown, what is its surface area?

7mm
10mm
8mm
6mm

Answer 1

To find the surface area of the prism, we first need to find the area of each of the faces and then add them all up.

1. The rectangular face on the right: Area = 7mm * 10mm = 70 sq. mm
2. The rectangular face on the left: Area = 7mm * 8mm = 56 sq. mm
3. The top rectangular face: Area = 10mm * 8mm = 80 sq. mm
4. The bottom rectangular face: Area = 10mm * 8mm = 80 sq. mm
5. The front rectangular face: Area = 10mm * 7mm = 70 sq. mm
6. The back rectangular face: Area = 10mm * 7mm = 70 sq. mm

Now, add up all the areas to find the total surface area:
70 + 56 + 80 + 80 + 70 + 70 = 426 sq. mm

Therefore, the surface area of the prism is 426 sq. mm.