Answer:$166.50
Step-by-step explanation:
Step 1: Finding the Volume of the sandbox,
Volume= Length * Width * Depth
Volume= 7*6*4 =168 ft^3
Step 2: Convert Cubic feet to cubic metres
1 ft^3 = 0.0283 m^3
Therefore,
Volume in m^3 = 168 * 0.0283
Volume = 4.757 m^3
Step 3: Finding the total cost
Cost = Volume * rate
Cost = 4.757 * 35 = $166.495
Cost = $166.50 (closest to cents)
Since volume is measured in cubic units, and size of the box is already given in feet, so volume will be measuring how many cubic feet can come in the box. You can use that to find the total cost of buying sand for that box.
The cost to Mandy Lee to purchase sand for the given box is $5880
Let the three dimensions(height, length, width) be x, y,z units respectively.
Then the volume of the cuboid is given as
[tex]V = x \times y \times z \: \rm unit^3[/tex]
Since the dimensions of the box are 7 feet, 6 feet, and 4 feet.
The volume is [tex]7 \times 6 \times 4 = 168 \: \rm feet^3[/tex]
There are 168 one foot sized cubes.
1 cubic feet sand = $35
168 cubic feet sand = $35 times 168 = $5880
Thus,
The cost to Mandy Lee to purchase sand for the given box is $5880
Learn more about volume of cuboid here:
https://brainly.com/question/46030
