Use the formula to find the lateral area and surface area of prism

The answer to your question is 2046 in²

Step-by-step explanation:

Data

length = 30 in

base = 24 in

hypotenuse = 25 in

Process

1.- Calculate the height of the triangle using the Pythagorean theorem

          c² = a² + b²

-Solve for b

          b² = c² - a²

-Substitution

           b² = 25² - 24²

-Simplification

           b² = 625 - 576

-Result

            b² = 49

            b = 7 in

2.- Calculate the area of the base

Area = base x height

Area = 24 x 7 x 2

        = 336 in²

3.- Calculate the lateral area

Area = 30 x 25 x2

        = 1500 in²

4.- Calculate the last area

Area = 30 x 7

        = 210

5.- Final area

Total area = 210 + 1500 + 336

                 = 2046 in²

find the magnitude of the trig term  

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find the lower bound of the range.

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find the upper bound of the range.

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step-by-step explanation:

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