Question

Geoffrey’s first planter is 8 feet long and 2 feet wide. The container is filled with soil to a height of 3 feet in the planter. What is the volume of soil in the planter? Explain your work using a diagram.

Answer 1

48 cubic feet

Explanation:

In order to solve this problem you just have to know the formula for volume, which is:

`Volume=LengthxBasexHeigth`

Now we just have to insert the values into the formula:

`Volume=Lenght*Base*Height\\Volume=8feet*2feet*3feet\\Volume=48 ft^(3)`

So now we know that the volume of soil in the planter is 48 cubic feet.

Answer 2

Answer:
`48\ ft^3`

Explanation:

Knowing that the lenght of the planter is 8 feet, its width is 2 feet and the it is filled with soil to a height of 3 feet, you can draw a rectangular prism as the one shown in the diagram attached.

In order to calculate the volume of the soil in the planter, you can use the following formula:

`V=lwh`

Where "l" is the lenght, "w" is the width and "h" is the height

As you can notice in the diagram, the lenght, the width and the height of the soil in the planter are:

`l=8\ ft\\\\w=2\ ft\\\\h=3\ ft`

Therefore, substituting values into the formula, you get:

`V_((soil))=(8\ ft)(2\ ft)(3\ ft)=48\ ft^3`