contestada

9. The length of a rectangular speaker is three
times its width, and the height is four more
than the width. Write an expression for the
volume V of the rectangular prism in terms
of its width w.

9 The length of a rectangular speaker is three times its width and the height is four more than the width Write an expression for the volume V of the rectangula class=

Respuesta :

calculista

Answer:

[tex]V=(3W^3+12W^2)\ units^3[/tex]

Step-by-step explanation:

we know that

The volume of a rectangular prism is equal to

[tex]V=LWH[/tex] -----> equation A

where

L is the length

W is the width

H is the height

we know that

[tex]L=3W[/tex] -----> equation B

[tex]H=W+4[/tex] ----> equation C

substitute equation B and equation C in equation A

[tex]V=(3W)(W)(W+4)[/tex]

Apply distributive property

[tex]V=(3W^3+12W^2)\ units^3[/tex]