Question

You are asked to buy bags of cement to pour a cement pad for a hot tub. you need to fill the pad frame which is a square frame measuring 8 feet long and 1 foot high. each bag of cement mixed will fill 5 cubic feet in the frame. how many bags will you need to buy to ensure enough to fill the entire frame

Answer 1

To fill an 8ft× 8ft× 1ft frame, calculate the volume (64 cubic feet) and divide by the volume one bag fills (5 cubic feet per bag). You need 12.8 bags, so round up to 13 bags to have enough cement.

Step-by-step explanation:

First, we need to calculate the volume of the frame where the cement will be poured. Since the frame is a square measuring 8 feet on each side and 1 foot high, the volume of the frame is found by multiplying these dimensions:

Volume = length × width × height

Volume = 8 feet × 8 feet × 1 foot

Volume = 64 cubic feet

Next, we need to determine how many bags of cement are required by dividing the total volume by the volume that one bag fills:

Number of bags needed = Total volume / Volume per bag

Number of bags needed = 64 cubic feet / 5 cubic feet per bag

Number of bags needed = 12.8 bags

Since we can't buy a fraction of a bag, we'll round up to the nearest whole number. Therefore, we will need to buy 13 bags of cement to ensure enough to fill the entire frame.

Answer 2

The volume of a rectangular prism (which the frame is, having a square base with height) is given by
`V=lwh`, where l is length, w is width, and h is height. Since the width of a square is equivalent to its length, the square's dimensions will be 8 feet by 8 feet. So the volume of the frame is
`V=8ft*8ft*1ft=64ft^(3)`.
We need to know how many
`5ft^(3)` bags fit in a
`64ft^(3)` frame, so we can divide 64 by 5 to find how many times 5 fits in 64:
`(64)/(5)=12.8`. You can't buy 8 tenths of a bag, so you'll need to buy 13 bags to ensure that you have enough cement to fill the entire frame.