Question

Prism A and prism B have the same volume. Which could be the dimensions of prism B

Answer 1

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

Answer 2

Length: 4

.Width : 4

Height :10

Explanation:

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

`V=l* w* h`, where l is length, w is width and h is height of the rectangular prism.

Now, The volume of prism A will be :-

`V=8*4*5=160\text{ feet}^3`

Check all the options.

1. 
   `V=6*10*2=120\text{ feet}^3`
2. 
   `V=4*4*10=160\text{ feet}^3`
3. 
   `V=5*4*7=140\text{ feet}^3`
4. 
   `V=8*4*6=192\text{ feet}^3`

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