Mathematics: Ashipping company offers various sized shipping boxes to its customers. some of these boxes are cube-shaped, with equal height, width, and depth. as part of an upcoming sales promotion, the company will offer two cube-shaped boxes for the price of one. a. write an expression to represent the total volume of two different sized boxes as a sum of cubes if one of the boxes has sides with a length of 1 foot and the other has sides with a length of x feet. b. factor the sum of cubes. c. calculate the

Ashipping company offers various sized shipping boxes

Ответ:

7obadiah

17.01.2022

A cube shaped box of side length equal to m foot has volume
$m*m*m= m^{3}$ foot cubed.

a.
Let v1 be the volume of the box with side length 1 ft.
and v2 be the volume of the box with side length x ft.

$V1=1^{3}=1$ (foot cubed)
$V2=x^{3}$ (foot cubed)

Vtotal= $V1+V2=1+x^{3}$ feet cubed

b.

by the "sum of cubes" identity:

$x^{3}+1=(x+1)( x^{2} -x+1)$ ,

this identity can be derived by dividing $x^{3}+1$ by (x+1), by long division.

c. Vtotal when x=3 feet is:

Vtotal= $V1+V2=1+3^{3}=1+27=28$ (feet cubed)

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Ответ:

colemomdad11

18.09.2020

Mathematics

see below

Step-by-step explanation:

it would be c i hope this helps

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