Answer:
The surface area of a rectangular prism is given by the formula:
SA = 2lw + 2lh + 2wh
where l, w, and h are the length, width, and height of the prism, respectively. We are given that the surface area of the prism is 1,060 cm², and that the base has measurements 8 cm and 10 cm.
Substituting these values into the formula, we get:
1060 = 2(8)(10) + 2(8)h + 2(10)h
Simplifying and solving for h, we get:
1060 = 160 + 16h + 20h
1060 = 160 + 36h
900 = 36h
h = 25
Therefore, the height of the prism is 25 cm.
Explanation: