Question

A rectangular shaped tank measures 42 1/2 inches in length, 18 inches in width, and 6 1/8 inches in depth. What is the total surface area of this tank

Answer 1

2271.12 in²

Explanation:

Surface area of rectangular prism:

`\sf l = length = 42 (1)/(2)=(85)/(2) \ in \\\\\\w =width = 18 \ in\\\\h = depth = 6(1)/(8)=(49)/(8) \ in`

`\boxed{\text{\bf Surface area of rectangular prism = 2*(lw + wh + hl)}}`

`\sf = 2*\left ((85)/(2)*18 + 18*(49)/(8 )+ (49)/(8)*(85)/(2)}\right)\\\\\\=2*\left(85*9 + 9*(49)/(4) +(49*85)/(16)\right)\\\\=2*\left(765 +110.25 + 260.3125 \right)\\\\= 2 *1135.56\\\\= 2271.12 \ in^2`