This math topic covers the calculation of missing side lengths in non-right triangular prisms given their volume and other side dimensions. It is part of a larger unit on the introductory concepts of geometry related to the volume logic of 3D shapes. Each problem involves a visual representation of a triangular prism and requires determining the length of an unspecified side by analyzing the provided information on volumes and dimensions.
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What is the length of the missing side of this Triangular Prism?
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Find the base length of this triangular prisme from it's volume and its height and depth
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The volume of any prism is just the area of its base times the length of the straight sides. In this case the straight sides are its depth
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We know the volume is 56 and the depth is 7
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So the area of the base must be 8
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The area of the base is the area of a triangle, so that's base times height over 2
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So we can solve for base length, which is 4
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