This math topic practices using the Pythagorean Theorem in three dimensions, focusing on finding hypotenuse distances within a rectangular prism. Each of the five questions tasks students with calculating the hypothetical straight-line distance between two points within the prism, applying knowledge of 3D geometry. This is part of an introductory unit on three-dimensional applications of the Pythagorean Theorem.

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

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

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Pythagorean Theorem 3D - Prism - Dimensions to Hypotenuse (Full)
1
What is the distance from point A to point B on this Rectangular Prism?
An svg image showing a math problem
a
11
b
18
c
14
d
23
e
20
f
17
2
What is the distance from point A to point B on this Rectangular Prism?
An svg image showing a math problem
a
13
b
12
c
15
d
17
e
21
f
19
3
What is the distance from point A to point B on this Rectangular Prism?
An svg image showing a math problem
a
18
b
8
c
15
d
9
e
17
f
23
4
What is the distance from point A to point B on this Rectangular Prism?
An svg image showing a math problem
a
16
b
20
c
11
d
13
e
7
f
4
5
What is the distance from point A to point B on this Rectangular Prism?
An svg image showing a math problem
a
9
b
15
c
17
d
23
e
19
f
8
6
What is the distance from point A to point B on this Rectangular Prism?
An svg image showing a math problem
a
17
b
11
c
16
d
21
e
12
f
15