Diagonal Lengths in Rectangular Prisms

Diagonal Lengths in Rectangular Prisms

Assessment

Interactive Video

Mathematics

6th - 8th Grade

Practice Problem

Hard

Created by

Emma Peterson

FREE Resource

This lesson teaches how to find the length of a diagonal inside a rectangular prism using the Pythagorean Theorem. It begins with a review of the theorem and its application to right triangles. The lesson explains the differences between two-dimensional and three-dimensional figures and highlights the common misconception that solving for a diagonal in a rectangular prism is a one-step process. The lesson outlines the steps to solve for diagonal lengths, including writing equations, solving for unknowns, and verifying answers. It concludes with a practical example of calculating the diagonal using a table and verifying the solution.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What theorem is used to find the length of a diagonal inside a rectangular prism?

Fundamental Theorem of Calculus

Binomial Theorem

Pythagorean Theorem

Theorem of Relativity

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a key difference between two-dimensional and three-dimensional figures?

Three-dimensional figures have height, length, and width.

Three-dimensional figures have only length and width.

Two-dimensional figures have height, length, and width.

Two-dimensional figures have height and width.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When solving for the diagonal in a rectangular prism, how many times might you need to apply the Pythagorean Theorem?

Twice

Once

Four times

Three times

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example given, what is the length of side A after solving the base right triangle?

10 cm

20 cm

14.14 cm

24.5 cm

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of the diagonal (side C) in the rectangular prism example?

24.5 cm

10 cm

20 cm

14.14 cm

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of using a table in solving for the diagonal of a rectangular prism?

To avoid using the Pythagorean Theorem

To find the volume of the prism

To organize side lengths and areas

To make the problem more complex

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of side B in the example provided?

24.5 cm

10 cm

20 cm

14.14 cm

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