
Respuesta :
See the calculations, explanations and results below.
1) The section to cover has tha shape of box with these dimensions:
length: 9.5 ft
width: 12 ft
depth: 4 inches
3) The volume of a box is calculated as:
V = length × witdth × depth
Since the depth is in inches convert to feet.
Conversion factor: 1 feet = 12 inches
⇒ depth = 4 in × 1 feet / 12 inches = 1/3 feet
Now, calculate the volume using feet:
V = 9,5 feet × 12 feet × 1/3 feet = 38 feet³
4) convert that to yard³ to compare with the calculations made by Rosilaine:
Conversion factor: 1 yard = 3 feet
⇒ 38 ft³ × (1 yard / 3 ft) ³ = (38 / 27) yard³ = 1.41 yard³
5) The error probably was that Rosailined used a wrong conversion factor.
Notice that 38 / 3 ≈ 12.7; so a likely mistake is that she did not cube the factor and so got about 12 yard³.
6) She might order 1.5 yard³ or 2.0 yard³ depending on the seller's rates and restrictions. With that she will have enough and will not have too much left over.
1) The section to cover has tha shape of box with these dimensions:
length: 9.5 ft
width: 12 ft
depth: 4 inches
3) The volume of a box is calculated as:
V = length × witdth × depth
Since the depth is in inches convert to feet.
Conversion factor: 1 feet = 12 inches
⇒ depth = 4 in × 1 feet / 12 inches = 1/3 feet
Now, calculate the volume using feet:
V = 9,5 feet × 12 feet × 1/3 feet = 38 feet³
4) convert that to yard³ to compare with the calculations made by Rosilaine:
Conversion factor: 1 yard = 3 feet
⇒ 38 ft³ × (1 yard / 3 ft) ³ = (38 / 27) yard³ = 1.41 yard³
5) The error probably was that Rosailined used a wrong conversion factor.
Notice that 38 / 3 ≈ 12.7; so a likely mistake is that she did not cube the factor and so got about 12 yard³.
6) She might order 1.5 yard³ or 2.0 yard³ depending on the seller's rates and restrictions. With that she will have enough and will not have too much left over.