Determining the volume of rectangular pyramid

Determining the volume of rectangular pyramid

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to calculate the volume of a pyramid. It begins by introducing the formula for pyramid volume, which is one-third of the base area times the height. The tutorial then demonstrates how to calculate the base area, specifically for a rectangular base, and discusses the importance of using the figure height rather than the slant height for volume calculations. The Pythagorean theorem is applied to find the figure height when given the slant height. The video also covers simplifying radicals in the context of these calculations. Finally, the tutorial concludes with the complete calculation of the pyramid's volume, emphasizing the importance of understanding each step in the process.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you find the height of a pyramid if you know the lengths of the sides of a triangle formed by the slant height?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final volume of the pyramid calculated in the text, and what units are used?

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