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3D Geometry and Pythagorean Theorem

3D Geometry and Pythagorean Theorem

Assessment

Interactive Video

Mathematics, Physics, Science

9th - 10th Grade

Practice Problem

Hard

Created by

Patricia Brown

FREE Resource

The video tutorial explains how to apply Pythagoras' theorem in three-dimensional shapes, specifically focusing on a cuboid and a square base pyramid. It demonstrates the step-by-step process of calculating the diagonal lengths using the theorem, emphasizing the importance of not rounding intermediate results until the final answer is reached.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary goal when applying 3D Pythagoras to a cuboid?

To find the volume of the cuboid

To determine the surface area of the cuboid

To calculate the diagonal from one corner to the opposite corner

To measure the perimeter of the cuboid

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the dimensions of the cuboid used in the example?

Width: 20 cm, Length: 10 cm, Height: 15 cm

Width: 10 cm, Length: 15 cm, Height: 20 cm

Width: 15 cm, Length: 20 cm, Height: 10 cm

Width: 10 cm, Length: 20 cm, Height: 15 cm

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the diagonal on the base of the cuboid?

By multiplying the width and length

By subtracting the width from the length

By using the Pythagorean theorem on the width and length

By adding the width and length

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of the diagonal on the base of the cuboid?

30 cm

25 cm

15 cm

20 cm

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final length of the diagonal through the cuboid?

25.9 cm

26.9 cm

27.9 cm

28.9 cm

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What shape is the base of the pyramid in the second problem?

Rectangular

Triangular

Square

Circular

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the pyramid problem?

Finding the diagonal of the base

Calculating the area of the base

Finding the height of the pyramid

Measuring the perimeter of the base

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