Will give brainlist!and explain all answers!
no rush, btw

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

what is the scale factor from the smaller rectangular prism to the larger rectangular prism? scale factor =

label each of the dimensions of the enlarged figure.

length =

width =

height =

what is the volume of the smaller rectangular prism?

show your work. v=

what is the volume of the enlarged rectangular prism?

show your work. v=

Part A) The scale factor is

The dimensions of the larger rectangular prism are

Part B) The volume of the smaller rectangular prism is

Part C) The volume of the enlarged rectangular prism is

Step-by-step explanation:

Part A)

we know that

If the dimensions of the prism are doubled, then the scale factor is equal to

so

To find the dimensions of the larger rectangular prism, multiply the scale factor by the dimensions of the smaller rectangular prism

Part B) What is the volume of the smaller rectangular prism?

we know that

The volume of a rectangular prism is equal to

we have

substitute the values

Part C) What is the volume of the enlarged rectangular prism?

we know that

The volume of a rectangular prism is equal to

we have

substitute the values

Remember that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z------> scale factor

x-----> volume of the enlarged prism

y-----> volume of the smaller prism

so

we have

substitute

---> is ok