Understanding 3D Geometry and Trigonometry

Understanding 3D Geometry and Trigonometry

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

This video tutorial covers 3D trigonometry and Pythagoras, starting with a review of 2D concepts. It explains how to find right angle triangles in cuboids and solve problems involving lengths and angles. The tutorial progresses to advanced triangle problems in cuboids and applies trigonometry in triangular prisms. It concludes with calculating the volume of square base pyramids and provides resources for further study.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to understand 2D Pythagoras and trigonometry before tackling 3D problems?

They are more complex than 3D problems.

They are only used in 2D problems.

They provide a foundation for understanding 3D concepts.

They are not related to 3D problems.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the Pythagorean theorem in a right-angled triangle?

A + B = C^2

A^2 + B^2 = C^2

A^2 + B^2 = C

A^2 = B^2 + C^2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In trigonometry, what does the sine of an angle represent in a right-angled triangle?

Adjacent divided by hypotenuse

Opposite divided by hypotenuse

Opposite divided by adjacent

Hypotenuse divided by opposite

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you find right-angled triangles in a cuboid?

By connecting any three points

By looking only at the outer faces

By identifying triangles on faces and through the shape

By using only the base of the cuboid

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in calculating the length of DG in a cuboid?

Identify the longest side of the cuboid

Calculate the area of the cuboid

Draw a line connecting D and G

Find the hypotenuse of another triangle

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When calculating the length of AC in a cuboid, what is AC considered as?

The adjacent side

The hypotenuse

The opposite side

The base

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

To find the angle FCG in a cuboid, which trigonometric function is used?

Cosine

Tangent

Sine

Secant

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