Answered: Mario Ahmad a fish tank in his room he…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Mario Ahmad a fish tank in his room he is making a special cover for the fish tank that can be placed over it at night if he plans for it cover all the sides and the top of the fish tank but not the bottom how many square centimeters of the material does he need for the cover?

Expert Solution

Step 1

Given data:

The length of the fish tank is L=35 cm.

The width of the tank is B=10 cm.

The height of the tank is H=25 cm.

The expression for the total surface area of the tank excluding the base is,

$A = 2 (B H + H L) + L B$

Substitute the given values in the above expression.

$\begin{array}{rcl} A & = & 2 ((10 cm) (25 cm) + (25 cm) (35 cm)) + (35 cm) (10 cm) \\ = & 2 (1125 {cm}^{2}) + 350 {cm}^{2} \\ = & 2, 600 {cm}^{2} \end{array}$

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