Question

which expression can be used to find the surface area of the trapezoidal prism? 6·3 + 6·4 + 6·5 + 6·8 + 23·4 + 1/2(3·4) what is the surface area of the trapezoidal prism? s.a. = ft² s.a. = 6·3 + 6·4 + 6·5 + 6·8 + 23·4 + 1/2(3·4) = 18 + 24 + 30 + 48 + 36

Explanation:

Step1: Analyze surface - area formula components

The surface area of a trapezoidal prism is the sum of the areas of all its faces. The formula given seems to break it down into the sum of the areas of the rectangular faces and the trapezoidal faces. The areas of the rectangular faces are \(6\times3\), \(6\times4\), \(6\times5\), \(6\times8\) and the area of the two trapezoidal faces is \(2\times\frac{1}{2}(3\times4)\).

Step2: Calculate the sum

$$
LATEXBLOCK0
$$

Answer:

132