The net of a rectangular prism and its dimensions are shown in the diagram. What is the total surface area of the rectangular prism in square inches?

286.5 in.²

Step-by-step explanation:

The surface area of the prism = sum of the area of each surface

= (7.5*3) + (11.5*3) + (7.5*3) + (11.5*3) + (11.5*7.5) + (11.5*7.5)

= 22.5 + 34.5 + 22.5 + 34.5 + 86.25 + 86.25

Surface area = 286.5 in.²

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: