Pyramid of Circles | Can you Solve?

Pyramid of Circles | Can you Solve?

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

Brian Mclogan introduces a math problem involving finding the height of a pyramid with a radius of 1. He encourages viewers to attempt solving it before demonstrating his approach. Initially, he explores various triangle configurations and faces challenges. He then uses the properties of a 30-60-90 triangle to find the solution, calculating the height as 2 + 2 sqrt 3. The video concludes with a call to action for viewers to subscribe for more math tutorials.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial problem presented in the video?

Calculating the surface area of a sphere

Determining the height of a pyramid shape

Measuring the radius of a circle

Finding the volume of a pyramid

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which type of triangle is initially considered to solve the problem?

Isosceles triangle

Right triangle

Equal angular triangle

Scalene triangle

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mathematical law is mentioned as a potential method to find the height?

Pythagorean Theorem

Law of Tangents

Law of Cosines

Law of Sines

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of triangle is used to simplify the calculation of the height?

45-45-90 triangle

Right triangle

Equilateral triangle

30-60-90 triangle

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final expression for the height of the pyramid?

4 + 4 sqrt 5

2 + 2 sqrt 3

3 + 3 sqrt 2

5 + 5 sqrt 6