mapmdp10
Answered

The volume of a rectangular box is 2x(2x + 5)(2x – 3).
Which statement about the volume of the box is true?

Answer :

carlosego
For this case we have the following expression for the rectangular box:
 [tex]2x (2x + 5) (2x - 3) [/tex]
 We can use the distributive property of multiplication to find an equivalent expression for the volume.
 We have then:
 [tex](4x ^ 2 + 10x) (2x - 3) [/tex]
 Rewriting again we have:
 [tex](8x ^ 3 + 20x ^ 2) + (-12x ^ 2 - 30x) [/tex]
 Adding similar terms we have:
 [tex]8x ^ 3 + 8x ^ 2 - 30x [/tex]
 Answer:
 
A statement about the volume of the box that is true is:
 
The equivalent volume of the rectangular box is:
 
[tex]8x ^ 3 + 8x ^ 2 - 30x[/tex]
capriseok
If this is for apex the answer is:

The volume is the product of the area of the base, 2x(2x+5), and the height, 2x-3.

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