Olivia has to design a plastic shipping container that will hold 12 basketballs in individual boxes. The basketballs have a radius of 4.5 inches and fit exactly in their individual boxes that are cubes. Give the dimensions (in inches) of 4 different plastic shipping containers that would fit the boxes exactly. Two containers with the same dimensions in a different order do not count as different containers. Find the surface area of each of your designs.

The surface area of each of your designs is . So dimensions (in inches) of 4 different plastic shipping containers that would fit the boxes exactly is a cube of side 9 inches.

Step-by-step explanation:

Here we have , Olivia has to design a plastic shipping container that will hold 12 basketballs in individual boxes. The basketballs have a radius of 4.5 inches and fit exactly in their individual boxes that are cubes. Give the dimensions (in inches) of 4 different plastic shipping containers that would fit the boxes exactly. Two containers with the same dimensions in a different order do not count as different containers. Basketball is in form of sphere who's radius is 4.5 inches , also it's inscribed in cubes or boxes perfectly . In this case:

Side of a cube = 2(radius of sphere) = 2(4.5) = 9 in

We know that , surface area of a cube is .

⇒

Therefore, the surface area of each of your designs is .

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:

it shoild be o

step-by-step explanation: