Andrea is making a sandbox.She has made a wooden frame in her backyard that is 6 feet long, 6 feet wide, and 2 feet deep. She can purchase sand for $30 per cubic meter. How much will it cost for her to purchase sand? Hint: 1 foot equals 0.3048 meters.
To find out how much sand Andrea needs to fill the sandbox, we first need to calculate the volume of the sandbox.
Given:
Length of the sandbox = 6 feet
Width of the sandbox = 6 feet
Depth of the sandbox = 2 feet
We know that 1 foot equals 0.3048 meters, so we can convert the dimensions to meters:
Length of the sandbox = 6 feet = 6 * 0.3048 meters = 1.8288 meters
Width of the sandbox = 6 feet = 6 * 0.3048 meters = 1.8288 meters
Depth of the sandbox = 2 feet = 2 * 0.3048 meters = 0.6096 meters
Now we can calculate the volume of the sandbox in cubic meters:
Volume of the sandbox = Length * Width * Depth
Volume of the sandbox = 1.8288 meters * 1.8288 meters * 0.6096 meters
Volume of the sandbox = 2.00277 cubic meters (rounded to five decimal places)
Since the sand is sold in cubic meters and costs $30 per cubic meter, we can calculate the cost of purchasing the sand:
Cost of purchasing sand = Volume of the sandbox * Price per cubic meter
Cost of purchasing sand = 2.00277 cubic meters * $30 per cubic meter
Cost of purchasing sand = $60.08
Therefore, it will cost Andrea $60.08 to purchase the sand.
To calculate the cost of purchasing sand, we need to find the volume of the sandbox in cubic meters and then multiply it by the price per cubic meter of sand.
First, let's convert the dimensions of the sandbox from feet to meters using the conversion factor: 1 foot = 0.3048 meters.
The length of the sandbox in meters = 6 feet * 0.3048 meters/foot = 1.8288 meters.
The width of the sandbox in meters = 6 feet * 0.3048 meters/foot = 1.8288 meters.
The depth of the sandbox in meters = 2 feet * 0.3048 meters/foot = 0.6096 meters.
Now, let's calculate the volume of the sandbox in cubic meters by multiplying the length, width, and depth:
Volume = Length * Width * Depth = 1.8288 meters * 1.8288 meters * 0.6096 meters = 2.1161 cubic meters.
Finally, to find the cost of purchasing sand, we can multiply the volume by the price per cubic meter:
Cost = Volume * Price per cubic meter = 2.1161 cubic meters * $30/cubic meter = $63.48.
Therefore, it will cost Andrea $63.48 to purchase the sand for her sandbox.
find the volume of the box ... length times width times depth
... remember the conversion factor for feet to meters (multiply EACH dimension)
find the cost of the sand by multiplying the volume (in cubic meters) by the price
volume = 6x6x2 ft^3
convert that to cubic metres:
1 ft = .3048 m
1 ft^3 = .3048 m^3
multiply 72 by .3048^3 = ...
multiply that by $30