To find the volume of soil required for the flowerbed, we need to determine its dimensions and use the formula l * w * h. Using the equation l * w = 22.5, we can calculate the length and width of the flowerbed. Then, we can calculate the volume by multiplying the length, width, and height of the flowerbed. The options for volume are 6 units and 4 units.
To find the volume of soil required for the flowerbed, we first need to determine its dimensions. We know that the area of the flowerbed is 22.5 square units. Let's assume that the length of the flowerbed is 'l' units and the width is 'w' units. Since the area of a rectangle is given by length multiplied by width, we have the equation 'l * w = 22.5'.
Given the options of volume, we can calculate the volume using either the length or the width. Let's choose to use the length to calculate the volume. If the length of the flowerbed is 'l' units, the width would be '22.5 / l' units, according to the equation 'l * w = 22.5'. This means that the dimensions of the flowerbed are 'l' units by '22.5 / l' units.
Now, to calculate the volume required, we multiply the length, width, and height of the flowerbed. Since we have two options for volume, we can calculate both and compare. If the volume is 6 units, we have 'l * (22.5 / l) * 6 = 6 * 22.5 = 135' units. If the volume is 4 units, we have 'l * (22.5 / l) * 4 = 4 * 22.5 = 90' units. So, the gardener would need either 135 units or 90 units of soil, depending on the chosen volume option.
The probable question may be:
In a picturesque garden, there is a beautiful rectangular flowerbed with an area of 22.5 square units. The gardener needs to determine the volume of soil required for planting. The volume options are either six units or four units. Can you help the gardener find the volume needed for this lovely flowerbed?
Additional Information:
The flowerbed has a length and width that together contribute to its area of 22.5 square units. Imagine this flowerbed as a little piece of nature in the heart of the garden, with vibrant flowers waiting to bloom. The gardener is deciding between two bags of soil, one labeled "Volume: 6 units" and the other "Volume: 4 units." To make the right choice, the gardener needs to calculate the volume required for this charming flowerbed.