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Isabel is designing a new fish tank that is shaped like a triangular prism with lateral faces made of glass. The bases of the prism are right triangles. Isabel’s new fish tank will look like the diagram below but it will have twice the height of the prism shown in the diagram.

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Isabel is designing a new fish tank that is shaped like a triangular prism with lateral faces made of glass The bases of the prism are right triangles Isabels n class=

Respuesta :

The lateral surface area of Isabel's fish tank is 384 inches².

The lateral surface area is the sum of the area of the other faces of the figure excluding the bases.

Isabella fish tank is twice the height of the prism . Therefore

h = 2(8) = 16 inches

The sum of the area of the other three sides are as follows:

Lateral surface area = 16(6) + 16(8) + 16(10)

Lateral surface area = 96 + 128 + 160

Lateral surface area = 384 inches²

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