study the diagram.\n4 in\n12 ft\n20 ft\n12 in = 1 ft, 3 ft = 1 yd\na concrete pad is needed to extend a…

study the diagram.\n4 in\n12 ft\n20 ft\n12 in = 1 ft, 3 ft = 1 yd\na concrete pad is needed to extend a driveway. the dimensions are given on the diagram.\nto the nearest cubic yard, how much concrete should be ordered?\na. 3 cubic yd\nb. 27 cubic yd\nc. 80 cubic yd\nd. 230 cubic yd\ne. 960 cubic yd

study the diagram.\n4 in\n12 ft\n20 ft\n12 in = 1 ft, 3 ft = 1 yd\na concrete pad is needed to extend a driveway. the dimensions are given on the diagram.\nto the nearest cubic yard, how much concrete should be ordered?\na. 3 cubic yd\nb. 27 cubic yd\nc. 80 cubic yd\nd. 230 cubic yd\ne. 960 cubic yd

Answer

Explanation:

Step1: Convert 4 inches to feet

Since 12 in = 1 ft, then 4 in = $\frac{4}{12}$ ft = $\frac{1}{3}$ ft.

Step2: Calculate volume in cubic feet

The volume ( V ) of a rectangular prism is ( V = l \times w \times h ). Here, ( l = 20 ) ft, ( w = 12 ) ft, ( h = \frac{1}{3} ) ft. So ( V = 20 \times 12 \times \frac{1}{3} ) = ( 20 \times 4 ) = 80 cubic feet.

Step3: Convert cubic feet to cubic yards

Since 3 ft = 1 yd, then 1 cubic yard = ( 3^3 ) cubic feet = 27 cubic feet. So the volume in cubic yards is ( \frac{80}{27} \approx 3 ) cubic yards (rounded to the nearest whole number).

Answer:

A. 3 cubic yd