Sara buys soil from a gardener to fill a planter. The gardener has 1.5 cubic feet of soil to sell for $6. Sara buys just enough soil to fill her planter, which is a prism with a height of 0.5 feet and a square base where each side length is 1 foot. How much will it cost Sara to completely fill her planter with soil?

The first thing you should do is calculate the volume of the prism.

We have then:

V = h * L ^ 2

Where,

L: side of the square base.

h: height.

Substituting we have:

V = (0.5) * (1) ^ 2 = 0.5 feet ^ 3.

Then, we can make the following rule of three:

1.5 feet ^ 3 - - - > 6

0.5 feet ^ 3 - - - > x

Clearing x we have:

x = (0.5 / 1.5) * (6) = 2 $

Answer:

it will cost Sara 2 $ to completely fill her planter with soil