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

Level 2

This math topic focuses on utilizing the Pythagorean Theorem in three dimensions, specifically in finding the distance from a point to the center of a face on a rectangular prism. It covers calculating hypotenuse lengths when given half the dimensions of height and depth. The problems are designed to enhance students' understanding of three-dimensional geometry and spatial reasoning, further applying these concepts in practical scenarios involving three-dimensional figures. Each question presents a rectangular prism with varying dimensions, asking for the calculation of specific distances to demonstrate mastery of the 3D Pythagorean Theorem.

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 Height, 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 of face BCDE on this Rectangular Prism?

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

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Math worksheet on 'Pythagorean Theorem 3D - Prism - Dimensions to Hypotenuse (Half Height, Half Depth) (Level 2)'. 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 of face BCDE on this Rectangular Prism?
An svg image showing a math problem
a
12
b
6
c
15
d
14
e
13
f
17
2
What is the distance from point A to the center of face BCDE on this Rectangular Prism?
An svg image showing a math problem
a
15
b
4
c
13
d
12
e
9
f
20
3
What is the distance from point A to the center of face BCDE on this Rectangular Prism?
An svg image showing a math problem
a
15
b
14
c
13
d
10
e
11
f
3
4
What is the distance from point A to the center of face BCDE on this Rectangular Prism?
An svg image showing a math problem
a
13
b
15
c
11
d
18
e
8
f
1
5
What is the distance from point A to the center of face BCDE on this Rectangular Prism?
An svg image showing a math problem
a
6
b
9
c
16
d
17
e
1
f
8