$65.72
Since the cost is per cubic yard convert the dimensions into yards
• 3 feet = 1 yard ⇔ 13 feet = [tex]\frac{13}{3}[/tex] yards and
• 36 inches = 1 yard ⇒ 3 inches = [tex]\frac{3}{36}[/tex] = [tex]\frac{1}{12}[/tex] yard
volume = [tex]\frac{13}{3}[/tex] × [tex]\frac{13}{3}[/tex] × [tex]\frac{1}{12}[/tex] = [tex]\frac{169}{108}[/tex]
cost = $42 × [tex]\frac{169}{108}[/tex] = $65.72
[tex]13(feet) * \frac{1 (yard)}{3 (feet)} * 13 (feet) * \frac{1 (yard)}{3 (feet)} * 3(inches) * \frac{1 (foot)}{12 (inches)} * \frac{1 (yard)}{3 (feet)} = \frac{13*13*3}{3*3*12*3} (yds)^{3}[/tex]
= 1.56 cubic yards * [tex]\frac{42.00 (dollars)}{1 (cubic yard)}[/tex] = $65.72
Answer: D
