Question

The length the height of a rectangular prism are 12 feet and 9 feet respectively. Determine the width of the rectangular prism whose surface area is 258 square feet

Answer 1

Width = x feet = 1 feet

Explanation:

Surface area of a rectangular prism = 2(lw +lh + wh)

Length = 12 feet

Width = x feet

Height = 9 feet

Surface area = 258 square feet

Surface area of a rectangular prism = 2(lw +lh + wh)

258 = 2{(12*x) + (12*9) + (x*9)}

258 = 2(12x + 108 + 9x)

258 = 24x + 216 + 18x

258 - 216 = 24x + 18x

42 = 42x

x = 42/42

x = 1 feet

Width = x feet = 1 feet