Answer:
380 square inches or 380 in²
Step-by-step explanation:
We are given 2 parameters in the question
A rectangular prism and a rectangular wrapping paper.
To solve the question above, we have to find the areas of these two parameters.
a) Formula for the area of the Rectangular Prism = 2(WL+ HL + HW)
The Rectangular Prism has the dimensions of Length × Width × Height = 8 inches by 9 inches by 10 inches
Where
L = Length = 8 inches
W = Width = 9 inches
H = Height = 10 inches
Area of the Rectangular Prism = 2[(9 × 8) + (10 × 8) + (9 × 10)]
= 2(72 + 80 + 90)
= 2(242)
= 484 in²
b) Formula for the area of a Rectangular shaped wrapping paper
= Length × Breadth
The wrapping paper has measurements of:
2 feet by 3 feet
Since the dimensions of the rectangular prism is in inches, we have to convert that of the rectangular prism to inches as well
1 foot = 12 inches
2 feet = 2 × 12 inches = 24 inches
3 feet = 3 × 12 inches = 36 inches
Area of the Rectangular shaped wrapping paper = Length × Width
= 24 in × 36 in
= 864 in²
The amount of square inches of wrapping paper left.
= Area of Rectangular wrapping paper - Area of Rectangular prism
= 864 in² - 484 in²
= 380 in²
