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Pythagorean Theorem 3D - Prism - Hypotenuse to Dimension (Full) (Level 3)

This math topic focuses on applying the Pythagorean Theorem in a three-dimensional context, specifically with prisms. Students are tasked with finding the length of certain dimensions (specifically the depth) given the hypotenuse of a right triangular prism. The skills practiced include understanding and utilizing the Pythagorean Theorem for solving real-world geometry problems in three-dimensional spaces, enhancing spatial perception, and mathematical reasoning.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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3D - Prism - Hypotenuse to Dimension (Full)

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


The distance from point A to point B is 15. What is the depth?

AB155d=?10

Pythagorean Theorem 3D - Prism - Hypotenuse to Dimension (Full) Worksheet

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Math worksheet on 'Pythagorean Theorem 3D - Prism - Hypotenuse to Dimension (Full) (Level 3)'. Part of a broader unit on 'Pythagorean Theorem in 3D - Intro' Learn online: app.mobius.academy/math/units/pythagoras_3d_intro/
1
The distance from point A to point B is 15. What is the depth?
An svg image showing a math problem
a
15
b
6
c
9
d
10
e
12
f
5
2
The distance from point A to point B is 14. What is the depth?
An svg image showing a math problem
a
6
b
1
c
13
d
4
e
3
f
5
3
The distance from point A to point B is 15. What is the depth?
An svg image showing a math problem
a
13
b
10
c
1
d
16
e
12
f
3
4
The distance from point A to point B is 15. What is the depth?
An svg image showing a math problem
a
4
b
5
c
1
d
13
e
7
f
10