The height of the right prism of the surface area given as 2112 square feet is thrice the inverse of the perimeter (h=3/p ft).
The surface area of the right prism is 2112 sq feet.
The length of two parallel sides of the trapezoid is 31 feet and 13 feet and the height is 16 feet.
What is the surface area of the right prism?
If the side edges of a prism are perpendicular to its ends or the base, it is called a right prism.
The surface area of the right prism is 2×base area+ perimeter×height
area of base or trapezoid = [tex]\rm \frac{1}{2} \times (sum \: of \: parallel \: sides) \times h[/tex]
[tex]\rm \frac{1}{2} \times (13+31) \times 16\\=352\: ft^{2}[/tex]
The surface area of the right prism = 2B ×Ph
[tex]\rm 2112 = 2\times 352+Ph\\\rm 2112 \div 704 = Ph\\[/tex]
h= 3/p ft
The height of the right prism of the surface area given as 2112 square feet is thrice the inverse of the perimeter.
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