Respuesta :

ReillyRoll
The second box because volume is length times width times height and the volume of prism A is 160, and the only volume with 160 in the options is the second box
JeanaShupp

Answer:

Length: 4

.Width : 4

Height :10

Step-by-step explanation:

We know that the volume of a rectangular prism is given by :-

[tex]V=l\times w\times h[/tex], where l is length, w is width and h is height of the rectangular prism.

Now, The volume of prism A will be :-

[tex]V=8\times4\times5=160\text{ feet}^3[/tex]

Check all the options.

  1. [tex]V=6\times10\times2=120\text{ feet}^3[/tex]
  2. [tex]V=4\times4\times10=160\text{ feet}^3[/tex]
  3. [tex]V=5\times4\times7=140\text{ feet}^3[/tex]
  4. [tex]V=8\times4\times6=192\text{ feet}^3[/tex]

We can see that only option 2. has the same volume as prism A.

Therefore, the dimensions of prism B will be :

Length: 4

.Width : 4

Height :10

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