The right rectangular prism shown has a length of 8ft a width of 2ft and a height of 6ft the dimensions of the prism are doubled

Part 1) The scale factor is

Part 2) The dimensions of the enlarged prism are

a.Length=(8)(2)=16 ft

b.Width=(2)(2)=4 ft

c.Height=(6)(2)=12 ft

Part 3) The surface area of the smaller rectangular prism is 152 ft^{2}

Step-by-step explanation:

we now that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

Part 1)

Find the scale factor

we know that

If the dimensions of the smaller prism are doubled , then the scale factor from the smaller rectangular prism to the larger rectangular prism is equal to

Part 2)

we know that

To find the dimensions of the enlarged figure, multiply the dimensions of the smaller prism by the scale factor

so

Length=(8)(2)=16 ft

Width=(2)(2)=4 ft

Height=(6)(2)=12 ft

Part 3) Find the surface area of the smaller rectangular prism

we know that

The surface area of the rectangular prism is equal to the area of its six rectangular faces

SA=2(8)(2)+2(2)(6)+2(8)(6)=152 ft^{2}

The scale factor is

Part 2) The dimensions of the enlarged prism are

a.Length=(8)(2)=16 ft

b.Width=(2)(2)=4 ft

c.Height=(6)(2)=12 ft

Part 3) The surface area of the smaller rectangular prism is 152 ft^{2}

Step-by-step explanation:

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:

the answer is b.

64

step-by-step explanation:

c=2πr=2·π·8≈64