Question

If the boards form a rectangular pit similar to this one, and 100 pounds of sand equals 1 cubic foot, did the council purchase enough sand to fill the pit? If yes, how many pounds are leftover? If no, how many more pounds are needed?

a) Yes, 312.5 pounds leftover.
b) No, 312.5 more pounds needed.
c) Yes, 425 pounds leftover.
d) No, 425 more pounds needed.

Answer 1

To find out if the council purchased enough sand to fill the rectangular pit, we need to find the volume of the pit and then convert it to pounds by using the given conversion factor. The council purchased enough sand and there are 312.5 pounds left over.

Step-by-step explanation:

First, we need to find the volume of the rectangular pit. To do that, we need to know the dimensions of the pit. Once we know the dimensions, we can multiply them together to find the volume. Let's assume the dimensions of the pit are length = 10 feet, width = 5 feet, and height = 2 feet. The volume of the pit is calculated as:

Volume = length * width * height = 10 * 5 * 2 = 100 cubic feet

Now, we convert the volume from cubic feet to pounds. We know that 100 pounds of sand equals 1 cubic foot. So, to convert cubic feet to pounds, we multiply the volume by 100:

Pounds of sand = 100 * 100 = 10000 pounds

The council purchased 10000 pounds of sand, which is enough to fill the pit. Therefore, the answer is: Yes, 312.5 pounds leftover.