rachel wants to put mulch around her three raised flower beds, as shown in the figure below.\n- each of the…
rachel wants to put mulch around her three raised flower beds, as shown in the figure below.\n- each of the three rectangular beds is 3 feet in width and 4 feet in length.\n- rachel needs to fill the 13 foot by 6 foot rectangular area around the beds with mulch to a depth of 3 inches.\nwhat volume of mulch does rachel need to buy?\na. 10.5 cubic feet\nb. 19.5 cubic feet\nc. 42 cubic feet\nd. 126 cubic feet
Answer
Explanation:
Step1: Calculate total area of big rectangle
$\text{Area}_{\text{big}} = 13 \times 6 = 78$ square feet
Step2: Calculate area of one small bed
$\text{Area}_{\text{single bed}} = 3 \times 4 = 12$ square feet
Step3: Calculate total area of 3 beds
$\text{Area}_{\text{3 beds}} = 3 \times 12 = 36$ square feet
Step4: Calculate mulch area (subtract beds)
$\text{Area}_{\text{mulch}} = 78 - 36 = 42$ square feet
Step5: Convert depth to feet (3 inches)
$\text{Depth} = \frac{3}{12} = 0.25$ feet
Step6: Calculate mulch volume
$\text{Volume} = 42 \times 0.25 = 10.5$ cubic feet
Answer:
A. 10.5 cubic feet