Pythagorean Theorem 3D - Prism - Dimensions to Hypotenuse (Half Depth)

Level 3

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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3D - Prism - Dimensions to Hypotenuse (Half Depth)

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


What is the distance from point A to the center point of BC on this Rectangular Prism?

ACB10411

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

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Math worksheet on 'Pythagorean Theorem 3D - Prism - Dimensions to Hypotenuse (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
What is the distance from point A to the center point of BC on this Cube?
An svg image showing a math problem
a
23
b
17
c
10
d
11
e
9
f
15
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
15
b
18
c
5
d
8
e
24
f
17
3
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
23
b
20
c
15
d
5
e
14
f
9
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
15
b
9
c
7
d
24
e
12
f
20