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

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01-06-2023
Mathematics

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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

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devishri1977 devishri1977 · Answer 1 · 2023-06-01T14:46:41+02:00

Answer:

2271.12 in²

Step-by-step explanation:

Surface area of rectangular prism:

[tex]\sf l = length = 42 \dfrac{1}{2}=\dfrac{85}{2} \ in \\\\\\w =width = 18 \ in\\\\h = depth = 6\dfrac{1}{8}=\dfrac{49}{8} \ in[/tex]

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

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