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

Mathematics

Marlene Ray

27 April, 11:53

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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Darwin · 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