Pythagorean Theorem 3D - Prism - Hypotenuse to Dimension (Half Height, Half Depth)

Level 3

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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3D - Prism - Hypotenuse to Dimension (Half Height, Half Depth)

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


The distance from point A to the center of face BCDE is 15. What is the depth?

AEDCB1511d=?20

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Pythagorean Theorem 3D - Prism - Hypotenuse to Dimension (Half Height, Half Depth) Worksheet

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Math worksheet on 'Pythagorean Theorem 3D - Prism - Hypotenuse to Dimension (Half Height, Half Depth) (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 the center of face BCDE is 15. What is the depth?
An svg image showing a math problem
a
10
b
2
c
3
d
12
e
13
f
4
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
16
b
11
c
10
d
1
e
8
f
5
3
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
14
b
17
c
7
d
6
e
11
f
10
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
1
b
13
c
4
d
5
e
8
f
12