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

15

step-by-step explanation:

we are given the following expression and we are to solve it and find the product:

-13 × (-5)

solving the given expression in the standard order of solving a mathematical expression, beginning with the opening of brackets and then multiplying the terms and changing their signs.

-3 × -5 = 15 (answer is positive because when negative is multiplied with negative, it gives a positive answer)