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.
Practice:
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?
Pythagorean Theorem 3D - Prism - Hypotenuse to Dimension (Half Height, Half Depth) Worksheet
| 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 14. What is the depth? |
a
| 1 |
b
| 10 |
c
| 16 |
d
| 8 |
e
| 11 |
f
| 5 |
2
| The distance from point A to the center of face BCDE is 15. What is the depth? |
a
| 5 |
b
| 8 |
c
| 4 |
d
| 12 |
e
| 1 |
f
| 13 |
3
| The distance from point A to the center of face BCDE is 15. What is the depth? |
a
| 3 |
b
| 10 |
c
| 4 |
d
| 12 |
e
| 2 |
f
| 13 |
4
| The distance from point A to the center of face BCDE is 15. What is the depth? |
a
| 10 |
b
| 6 |
c
| 17 |
d
| 14 |
e
| 7 |
f
| 11 |