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A terrarium is built in the shape of a triangular prism. The prism is 10 inches in height and contains 450 cubic inches of space. A triangular prism is shown. The prism is 10 inches in height and contains 450 cubic inches of space. What is the area of the base shape of the prism?

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5 votes

Answer:

The area of the prism’s base is 45 square inches

Explanation:

Mathematically, to calculate the volume or the amount of space in the triangular prism, we have to multiply the area of the base by the height of the prism.

Volume of prism = height of prism * base area of prism

From the question, we identify the height as 10 inches with the volume being 450 inches^3

Plugging these values we have;

Area of prism base = volume of prism/ height of prism = 450/10 = 45 inches^2

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