Malia built a raised garden bed that is 16 feet long, 2 feet wide and 1.5 feet tall. She plans to fill the garden bed with premium soil that costs $12.45 per cubic yard. Recall that 1 yard = 3 feet. How much will it cost Malia to fill her garden bed with premium soil?Group of answer choices$14.941.8 cubic yards$12.45$22.13
Question
Malia built a raised garden bed that is 16 feet long, 2 feet wide and 1.5 feet tall. She plans to fill the garden bed with premium soil that costs 14.941.8 cubic yards22.13
Solution
First, we need to find the volume of the garden bed in cubic feet. The volume of a rectangular prism (which this garden bed is) is length * width * height. So, the volume of the garden bed is 16 feet * 2 feet * 1.5 feet = 48 cubic feet.
Next, we need to convert this volume to cubic yards because the cost of the soil is given per cubic yard. Since 1 yard = 3 feet, 1 cubic yard = 3 feet * 3 feet * 3 feet = 27 cubic feet. So, the volume of the garden bed is 48 cubic feet / 27 cubic feet/cubic yard = 1.78 cubic yards.
Finally, we multiply the volume of the garden bed in cubic yards by the cost of the soil per cubic yard to find the total cost. So, the total cost is 1.78 cubic yards * 22.13.
So, the cost for Malia to fill her garden bed with premium soil is $22.13.
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