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

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Pythagorean Theorem 3D - Prism - Hypotenuse to Dimension (Full)
1
The distance from point A to point B is 15. What is the depth?
An svg image showing a math problem
a
17
b
6
c
10
d
11
e
8
f
1
2
The distance from point A to point B is 12. What is the depth?
An svg image showing a math problem
a
8
b
15
c
11
d
3
e
7
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
14
b
2
c
6
d
13
e
5
f
11
4
The distance from point A to point B is 15. What is the depth?
An svg image showing a math problem
a
5
b
10
c
19
d
6
e
2
f
14
5
The distance from point A to point B is 14. What is the depth?
An svg image showing a math problem
a
9
b
8
c
6
d
1
e
7
f
3