Harolds mother, who lives across the street, is pouring a concrete driveway, 18 feet wide and 9 inches thick, from the street straight to her house. This is to much work for Harold to do in one day, so his mother has agreed to buy 4 cubic's yards of concrete each saturday for 4 consecutive saturday. How far is it from street to her house? Round your final answer and intermediate calculations to the nearest whole number is necessary.
Using feet for all measurements, we have
18 * 3/4 * length = 4*27*4
length = 32 ft
To find the distance from the street to the house, we need to calculate the volume of concrete needed for the driveway.
First, let's convert the thickness of the driveway from inches to feet. Since 1 foot is equal to 12 inches, the thickness of the driveway in feet is 9/12 = 0.75 feet.
Now, let's calculate the volume of the concrete needed. The volume formula for a rectangular prism is length × width × height.
Width of the driveway = 18 feet
Thickness of the driveway = 0.75 feet
Volume of concrete needed = 18 feet × 0.75 feet × length
Since we don't know the length of the driveway yet, we'll use a variable "length" to represent it.
Now, let's calculate the volume of concrete needed for each Saturday. We know that 4 cubic yards of concrete will be purchased per Saturday, and since 1 cubic yard is equal to 27 cubic feet, the volume of concrete purchased each Saturday is 4 × 27 = 108 cubic feet.
So we have the equation:
18 feet × 0.75 feet × length = 108 cubic feet
Now, we can solve for the length:
0.75 × 18 × length = 108
13.5 × length = 108
length = 108 / 13.5
length = 8
Therefore, the length of the driveway is 8 feet.
So, the final answer is that the distance from the street to her house is approximately 8 feet.