This math topic focuses on applying the Pythagorean theorem within three-dimensional geometry specifically on prisms. It teaches how to calculate different dimensions (like depth) given the hypotenuse (line connecting a point to the center of a prism face). The problems require understanding and implementing these concepts to find the correct dimensions, enhancing skills in 3D applications of the Pythagorean theorem with multiple-choice responses.

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 (Half Height, Half Depth) Worksheet

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