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1. Josh is designing a new display box for his insect collection that is shaped like a triangular prism with lateral faces made of glass. The bases of the prism are triangles. Josh's new insect box will look like the diagram below, but it will be twice the height of the prism shown in the diagram. 15 m 17 m 13 m 17 m 16m What is the total surface area of Josh's insect box? A. 1300 m2 B. 1540 m2 C. 650 m2 D. 890m²

Sagot :

Given data:

The given figure of the triangular prism.

The expression for the total surface area is,

[tex]\begin{gathered} SA=2(\frac{1}{2}\times16\text{ m}\times15\text{ m)+2}(17\text{ m}\times13\text{ m)+}(16\text{ m}\times13\text{ m)} \\ =890m^2 \end{gathered}[/tex]

Thus, the total surface area is 890 sq-meter, so (D) option is correct.

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