The basement of a new home will have the following dimensions 30 feet long 24 feet wide and 9 feet deep If the earth is hauled away in loads of 3 cubic yards each, how many loads must be hauled away?
To find the number cubic yards, convert the dimensions of the basement to yards (3 feet = 1 yard). Multiply the dimensions together.
10 * 8 * 3 = x cubic yards
x/3 = ??
What answer do you get?
To find out how many loads must be hauled away, we first need to calculate the total volume of the basement.
The dimensions given are:
Length = 30 feet
Width = 24 feet
Depth = 9 feet
The volume of the basement can be found using the formula:
Volume = Length x Width x Depth
So, substituting the values:
Volume = 30 feet x 24 feet x 9 feet
To simplify the calculation, convert all the measurements to yards, as the loads are in cubic yards. Since 1 yard = 3 feet, we can divide the measurements by 3:
Volume = (30 feet / 3) yards x (24 feet / 3) yards x (9 feet / 3) yards
Volume = 10 yards x 8 yards x 3 yards
Now, multiply the dimensions:
Volume = 240 cubic yards
Since each load contains 3 cubic yards, we can find the number of loads by dividing the total volume of the basement by the volume of each load:
Number of loads = Volume / Volume per load
Number of loads = 240 cubic yards / 3 cubic yards
Number of loads = 80 loads
Therefore, 80 loads must be hauled away to remove all the earth from the basement.