Respuesta :

Given data:

The first base length is b=4.3 in.

The second base length is b'=5.4 in.

The third base lenght is b''=8.4 in.

The height is h=4.1 in.

The expression for the lateral surface area is,

[tex]A=(b+b^{\prime}+b^{\doubleprime})h[/tex]

Substitute the given values in the above expression.

[tex]\begin{gathered} A=(4.3\text{ in+5.4 in+8.4 in)(4.1 in)} \\ =(18.1\text{ in)(4.1 in)} \\ =74.21in^2 \end{gathered}[/tex]

Thus, the lateral surface area is 74.21 square-inches.