A certain number of cubic yards of concrete will be poured to form a driveway. The concrete will fill a space that is a right rectangular prism that is 18 feet wide, 42 feet long, and 6 inches thick. What are the dimensions of this space (width by length by thickness) in yards? (Note: 1 foot = 12 inches and 1 yard = 3 feet) A) 6 yards by 14 yards by yard B) 6 yards by 14 yards by yard C) 54 yards by 126 yards by 72 yards D) 54 yards by 126 yards by 216 yards

Question

Carter Bridges

Mathematics

7 January, 04:03

A certain number of cubic yards of concrete will be poured to form a driveway. The concrete will fill a space that is a right rectangular prism that is 18 feet wide, 42 feet long, and 6 inches thick. What are the dimensions of this space (width by length by thickness) in yards? (Note: 1 foot = 12 inches and 1 yard = 3 feet) A) 6 yards by 14 yards by yard B) 6 yards by 14 yards by yard C) 54 yards by 126 yards by 72 yards D) 54 yards by 126 yards by 216 yards

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Answers (1)

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Darren Shields · Answer 1

Answer: 6 yards by 14 yards by 0.5 yard

Step-by-step explanation:

Given that the concrete will fill a space that is a right rectangular prism that is 18 feet wide, 42 feet long

The cubic feet of the space =

242 * 18 * 6/12 = 378 cubic ft

Given that 1 foot = 12 inches and 1 yard = 3 feet

6 yards by 14 yards by yard will give

(6*3) * (14 * 3) * (0.5*3) = 378 cubic ft

the dimensions of this space must be equal to the concrete dimensions space that is a right rectangular prism