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

Level 2

This math topic involves practicing the Pythagorean Theorem in a three-dimensional context, specifically with prisms. The focus is on calculating dimensions (such as depth) from given distances (hypotenuse) to the center of a face of the prism. The problems provided ask students to deduce the depth when they know the distance from a point to the center of a particular face of the prism, enhancing their understanding of geometry and spatial reasoning in 3D objects. Each question offers multiple-choice answers, allowing students to solve and verify their calculations.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

more
View Unit

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 9. What is the depth?

AEDCB97d=?8

?

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

Mobius Math Club logo
Math worksheet on 'Pythagorean Theorem 3D - Prism - Hypotenuse to Dimension (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
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
12
b
14
c
8
d
13
e
1
f
11
2
The distance from point A to the center of face BCDE is 9. What is the depth?
An svg image showing a math problem
a
1
b
11
c
2
d
5
e
8
f
4
3
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
8
b
13
c
11
d
7
e
4
f
6
4
The distance from point A to the center of face BCDE is 11. What is the depth?
An svg image showing a math problem
a
19
b
7
c
17
d
14
e
9
f
12
5
The distance from point A to the center of face BCDE is 11. What is the depth?
An svg image showing a math problem
a
8
b
6
c
3
d
1
e
4
f
2