1 point
Andrea is making a sandbox for her children. She has made a wooden frame her backyard that is 2 feet long, 5 feet wide, and 2 feet deep. She can purchase sand for the sandbox for $15 per cubic meter. How much will it cost for her to purchase sand? (Hint: 1 foot = 0.3048 meters.) Round your answer to the nearest dollar.
To find out how much sand Andrea needs to purchase, we first need to calculate the volume of the sandbox.
The length of the sandbox is 2 feet, which is equal to 2 x 0.3048 = 0.6096 meters.
The width of the sandbox is 5 feet, which is equal to 5 x 0.3048 = 1.524 meters.
The depth of the sandbox is 2 feet, which is equal to 2 x 0.3048 = 0.6096 meters.
Now we can calculate the volume of the sandbox by multiplying the length, width, and depth:
Volume = Length x Width x Depth
= 0.6096 m x 1.524 m x 0.6096 m
= 0.5716 cubic meters
Since sand is sold in cubic meters, Andrea needs to purchase 0.5716 cubic meters of sand.
Now, we can calculate the cost of purchasing sand:
Cost of sand = Volume x Price per cubic meter
= 0.5716 cubic meters x $15 per cubic meter
= $8.57
Therefore, it will cost Andrea approximately $9 to purchase sand for the sandbox.
To find the amount of sand Andrea needs, we first need to calculate the volume of the sandbox. The volume of a rectangular prism (like the sandbox) is calculated by multiplying its length, width, and depth.
Given:
Length = 2 feet
Width = 5 feet
Depth = 2 feet
We need to convert these measurements from feet to meters using the given conversion factor: 1 foot = 0.3048 meters.
Converting the measurements:
Length = 2 feet * 0.3048 meters/foot = 0.6096 meters
Width = 5 feet * 0.3048 meters/foot = 1.5240 meters
Depth = 2 feet * 0.3048 meters/foot = 0.6096 meters
Now we can calculate the volume:
Volume = Length * Width * Depth
Volume = 0.6096 meters * 1.5240 meters * 0.6096 meters
The volume of the sandbox is approximately 0.55971 cubic meters (rounded to five decimal places).
Next, we need to calculate the cost of the sand. The given cost is $15 per cubic meter.
Cost = Volume * Cost per cubic meter
Cost = 0.55971 cubic meters * $15
Multiplying the volume by the cost per cubic meter, we find that the cost of the sand will be approximately $8.40 (rounded to the nearest dollar).
Volume = length x width x height
but you may want to convert all units to meters first as your sand is measured in meters : )