Volume of prisms & cylinders maze

221.4 m³

Step-by-step explanation:

The volume of the triangular prism shown is given by the formula ...

  V = Bh

where B is the area of the triangular base, and h is the height between bases.

The area of the triangular base is given by ...

  B = (1/2)bh

where b is the base of the triangle, and h is the perpendicular distance to the opposite vertex.

Here, we have ...

  B = (1/2)(12 m)(4.1 m) = 24.6 m²

Then the volume is ...

  V = (24.6 m²)(9 m) = 221.4 m³

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: