Question

Kayla completed construction of her raised flowerbed project and is ready to begin filling it with soil. The raised flower bed is in the shape of a rectangular prism and has dimensions: 2 feet, 4.5 feet, and 3.5feet. Each bag of soil contains 1.5 cubic feet of soil. How many full bags of soil will Kayla need to buy to fill her flower bed? A)16B)21C)27D)32

Answer 1

The volume of a rectangular prism is computed as follows:

`V=\text{length}\cdot\text{height}\cdot\text{width}`

Substituting with the dimensions of the flower bed, we get:

`\begin{gathered} V=2\cdot4.5\cdot3.5 \\ V=31.5ft^3 \end{gathered}`

1 bag of soil contains 1.5 cubic feet of soil. We need to find how many bags contain 31.5 cubic feet of soil. We can do it with the help of the next proportion:

`\frac{1\text{ bag}}{x\text{ bags}}=\frac{1.5\text{ cubic ft of soil}}{31.5\text{ cubic ft of soil}}`

Solving for x: