Question

Zaidah plans a raised flower bed 2 ft high by 15 ft wide by 24 ft long. The mulch, soll, and peat mixture used to fill the raised bed costs $12.75 per cubic yard. What is the total cost (in dollars) of the
Ingredients used to fill the raised garden?

Answer 1

${\qquad\qquad\huge\underline{{\sf Answer}}}$

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$\qquad \sf \dashrightarrow \: volume = length \sdot width \sdot height$

$\qquad \sf \dashrightarrow \: v = (24) \sdot(15) \sdot(2)$

$\qquad \sf \dashrightarrow \: v = 720 \: \: ft {}^{3}$

now, we know :

$\qquad \sf \dashrightarrow \: 1 \: \: yard {}^{3} = 27 \: \: ft {}^{3}$

$\qquad \sf \dashrightarrow \: 1 \: \: ft {}^{3} = \cfrac{1}{27} \: \: yard {}^{3}$

$\qquad \sf \dashrightarrow \: 720 \: \: ft {}^{3} = \cfrac{1}{27} \times 720 \: \: yard {}^{3}$

$\qquad \sf \approx\: 26.67 \: \: yard {}^{3}$

now, total cost of ingredients used is :

$\qquad \sf \dashrightarrow \: 26.67 \times 12.75$

$\qquad \sf \dashrightarrow \: 340.04$

so, total cost is $ 340.04