Question

1. label the net with the dimensions and find the surface area of the prism below. your answer.

Explanation:

Step1: Identify the faces and their areas

The rectangular - prism has 6 faces. Two faces have dimensions 5×8, two faces have dimensions 5×10, and two faces have dimensions 8×10.

Step2: Calculate the area of each type of face

The area of the 5×8 faces: $A_1 = 2\times(5\times8)=80$.
The area of the 5×10 faces: $A_2 = 2\times(5\times10)=100$.
The area of the 8×10 faces: $A_3 = 2\times(8\times10)=160$.

Step3: Calculate the surface - area

The surface - area $S$ of the prism is the sum of the areas of all faces, so $S=A_1 + A_2+A_3=80 + 100+160 = 340$.

Answer:

340