Question

the concrete slab under a garage measures 38 feet by 37 feet and is 6 inches thick. if concrete costs 150$ for a cubic yard, how much will the concrete slab cost? round to the nearest dollar.

Answer 1

We need to find the volume first.
In order to multiply the volume, we need to convert everything.
We could either convert it to feet or inches. We can do feet.
38 feet by 37 feet by 0.5 feet.
We need to then multiply.
38×37=1,406×0.5=703
So the volume of the slab is 703 ft³.
The concrete is $150 per cubic yard.
cubic yard= 27 cubic feet
We can make it $150 per 27 cubic feet.
We need to divide the volume of the slab by 27.
703÷27= 26
Now multiply it by 150.
The cost is $3,906(3,905.56)

Answer 2

STEP 1
find cubic feet; multiply the three dimensions together; be sure to use the same unit of measure for all three dimensions: 6 inches is equal to 1/2'.

= 38' * 37' * 1/2'
multiply

= 703 cubic feet


STEP 2
divide cubic feet in step 1 by number of cubic feet in a cubic yard

27 cubic feet= 1 cubic yard

= 703 ÷ 27
= 26.037 cubic yards


STEP 3
multiply cubic yards in step 2 by cost per cubic yard

= 26.037 * $150
= $3,905.555
= $3,906 rounded to nearest dollar


ANSWER: It will cost $3,906 (rounded to nearest dollar).

Hope this helps! :)