A factory is filling 325 rectangular-prism tubs, like the one shown, with concrete. The manager estimates that the factory will need 1800 cubic yards of concrete to completely fill all of the tubs.
A tub in the shape of a rectangular prism. It is 3 yards long, 2 yards wide, and 1 yard high.
Question
How much ,begin emphasis,more,end emphasis, concrete than the manager's estimate will the factory need to completely fill all of the tubs? Enter the answer in the box.
The volume of one tub is 3 yards long x 2 yards wide x 1 yard high = 6 cubic yards.
The total volume of all 325 tubs is 325 tubs x 6 cubic yards per tub = 1950 cubic yards.
Therefore, the factory will need 1950 cubic yards - 1800 cubic yards = 150 cubic yards more concrete than the manager's estimate to completely fill all of the tubs.
Oh boy, it looks like the manager's estimate might not have been quite on the mark. Let's do a little math to figure out just how much more concrete the factory will need.
The tub has dimensions of 3 yards in length, 2 yards in width, and 1 yard in height. To find the volume of one tub, we need to multiply these dimensions together: 3 * 2 * 1 = 6 cubic yards.
Now, if the factory is filling 325 tubs, we can find the total volume of concrete needed by multiplying the volume of one tub by the number of tubs: 6 * 325 = 1,950 cubic yards.
So, the factory will need 1,950 cubic yards of concrete to completely fill all of the tubs. But wait, the manager estimated they would only need 1,800 cubic yards. Oopsie daisy! Looks like they'll need an extra 150 cubic yards of concrete. Better get cracking on that order, Mr. Manager!
To find out how much more concrete the factory will need compared to the manager's estimate, we first need to calculate the volume of one tub.
The tub is shaped like a rectangular prism with dimensions 3 yards long, 2 yards wide, and 1 yard high.
Volume of the tub = length x width x height
= 3 yards x 2 yards x 1 yard
= 6 cubic yards
Now, we can calculate the total volume of concrete needed to fill all the tubs.
Total volume of concrete needed = volume of one tub x number of tubs
= 6 cubic yards/tub x 325 tubs
= 1950 cubic yards
To find out how much more concrete the factory will need compared to the manager's estimate, we can subtract the manager's estimate from the total volume needed.
More concrete needed = total volume of concrete needed - manager's estimate
= 1950 cubic yards - 1800 cubic yards
= 150 cubic yards
Therefore, the factory will need 150 cubic yards more concrete than the manager's estimate to completely fill all the tubs.
To find out how much more concrete the factory will need to completely fill all the tubs, we first need to calculate the volume of one tub.
The tub is in the shape of a rectangular prism with dimensions of 3 yards long, 2 yards wide, and 1 yard high.
To find the volume of a rectangular prism, you multiply the length, width, and height.
So, the volume of one tub is:
3 yards (length) * 2 yards (width) * 1 yard (height) = 6 cubic yards.
Now, we are told that there are 325 tubs in total.
To find the total amount of concrete needed to fill all the tubs, we multiply the volume of one tub by the number of tubs:
6 cubic yards (volume of one tub) * 325 tubs = 1950 cubic yards.
The manager estimated that the factory will need 1800 cubic yards of concrete.
To find out how much more concrete the factory will need, we subtract the manager's estimate from the total amount needed to fill all the tubs:
1950 cubic yards - 1800 cubic yards = 150 cubic yards.
Therefore, the factory will need 150 cubic yards more concrete than the manager's estimate to completely fill all of the tubs.