This topic focuses on applying the Pythagorean Theorem within three-dimensional spaces, specifically involving rectangular prisms and cubes. The main skill practiced is calculating hypotenuse distances from a point to a central point of a face, by interpreting and solving problems presented in a three-dimensional context. Four questions challenge the understanding of spatial relationships and the application of Pythagorean principles in 3D geometry. Each problem includes a visual depiction of the scenario along with multiple choice answers, enhancing problem-solving skills in practical geometrical applications.

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 (Half Depth) Worksheet

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Pythagorean Theorem 3D - Prism - Dimensions to Hypotenuse (Half Depth)
1
What is the distance from point A to the center point of BC on this Rectangular Prism?
An svg image showing a math problem
a
19
b
6
c
8
d
12
e
14
f
10
2
What is the distance from point A to the center point of BC on this Rectangular Prism?
An svg image showing a math problem
a
6
b
15
c
9
d
24
e
17
f
18
3
What is the distance from point A to the center point of BC on this Cube?
An svg image showing a math problem
a
17
b
10
c
5
d
15
e
19
f
8
4
What is the distance from point A to the center point of BC on this Rectangular Prism?
An svg image showing a math problem
a
22
b
11
c
15
d
5
e
18
f
24