Question

The surface area of this rectangular prism is 236 square yards. What is the volume?

Answer 1

the volume of the rectangular prism is 168 cubic yards.

Answer 2

The volume of the rectangular prism with dimensions 8 yards, 6 yards, and 5 yards is 240 cubic yards.

The surface area A of a rectangular prism with dimensions l, w, and h can be calculated using the formula:

`A=2 l w+2 l h+2 w h`

In this case, the surface area is given as 236 square yards, and the dimensions are l=8 yards, w=6 yards, and h=p (where p is the third dimension)

`236=2(8)(6)+2(8)(p)+2(6)(p)`

Solving for p:

`236=96+16 p+12 p`

Combine like terms:

`236=96+28 p`

Subtract 96 from both sides:

`140=28 p`

Divide by 28:

`p=(140)/(28)=5`

Now that we have the value of p, we can calculate the volume V of the rectangular prism using the formula:

`V=l w h`

Substitute in the given values:

`V=(8)(6)(5)=240`

So, the volume of the rectangular prism is 240 cubic yards.