Vlad (the vampire) wanted to line the inside of his cofin bed with purple cloth. He measured the inside height, length and width to be twenty-three inches, eighty-four inches and twenty- eight inches. He also noted that it was a rectangular prism. The purple cloth is sold by the foot in sixty inch wide pieces. How many feet of cloth does he need to buy?

Guest Jan 1, 2022

#1**0 **

Calculate the surface area of the rectangular coffin bed.

Surface area = 2(LW + WH + HL)

Surface area = 2(84 * 28 + 28 * 23 + 23 * 84)

Surface area = 9856 in^{2}

Let x inch be the length of cloth required. So, the surface area of the cloth is given by,

Surface area of cloth = (Length)(Width)

Surface area of cloth = (x)(60)

Surface area of cloth = 60x in^{2}

Now,

Surface area of Cloth = Surface area of Coffin

60x = 9856

x = 9856/60 in

x = 164.2667

x = 164.2667 in * (1 foot/12 in)

x = 13.69 ft

Thus, 13.69 feet of cloth is required to cover the coffin bed from inside.

Guest Jan 3, 2022

#2**0 **

Given

h = 23 inch cloth = 12 inch * 60 inch

l = 84 inch

w = 28 inch

Sol^{h}

Since coffin is Rectangular Prism, So inside total

Surface is given by

S = 2(lw + lh + wh)

= 2(28 * 84 + 84 * 23 + 28 + 23)

= 9856 in^{2}

Total Area covered by 1 Piece Cloth = 12 * 60 = 720 inch^{2}

Total number of pieces required = 9856/720 = 13.68 ≈ 14

Since length of each cloth is 1 feet so 14 Cloth length 14 feet

Total cloth required is 14 feet

Guest Jan 3, 2022