Respuesta :

The surface area of prism consist of a triangle and three rectangles.

Determine the surface area of one triangular prism.

[tex]\begin{gathered} A=\frac{1}{2}\cdot8\cdot3+4.2\cdot5+4.2\cdot5+8\cdot4.2 \\ =12+21+21+33.6 \\ =87.6 \end{gathered}[/tex]

Determine the surface area of 10 triangular prism.

[tex]\begin{gathered} A^{\prime}=87.6\times10 \\ =876 \end{gathered}[/tex]

Determine the pints of paint to cover 876 square feet.

[tex]\begin{gathered} n=\frac{876}{50} \\ =17.52 \\ \approx18 \end{gathered}[/tex]

So 18 pints of paint are used by musuem.