3D Shapes Problem Solving

3D Shapes Problem Solving

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

Larry presents a bonus problem on calculating the surface area of 3D shapes using a grid of cubes. He explains the problem, discusses an initial approach, and provides a detailed solution with visualization. Larry then implements the solution in code, tests it, and addresses any issues through debugging. He concludes with final thoughts on the problem's complexity and its suitability for competitive programming.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of this video tutorial?

To introduce a new programming language

To solve a bonus problem involving 3D shapes

To discuss the history of mathematics

To explain the basics of calculus

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of the problem discussed in the video?

Understanding the properties of circles

Calculating the volume of 3D shapes

Finding the perimeter of 2D shapes

Determining the surface area of 3D shapes

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in setting up the problem?

Calculating the volume

Setting up the top and bottom surface areas

Drawing a diagram

Writing a pseudocode

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the narrator suggest visualizing the problem?

By using a 3D model

By considering one row at a time

By drawing on paper

By using a computer simulation

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the key method used to calculate the side surface areas?

Using the Pythagorean theorem

Applying calculus

Summing the differences between adjacent grid values

Using trigonometric identities

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a critical edge case mentioned in the video?

Handling negative numbers

Avoiding division by zero

Managing large datasets

Dealing with zero-height cells

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the narrator's final opinion on the problem's complexity?

It's too complex for a standard interview

It's tricky but manageable with the right approach

It's a good challenge for beginners

It's too simple for most programmers