Pythagorean Theorem 3D - Prism - Hypotenuse to Dimension (Half Depth) (Level 2)

This topic focuses on applying the Pythagorean Theorem in three dimensions, specifically relating to finding dimensions of a rectangular prism when given the hypotenuse. It involves determining the depth of the prism from a corner to the center of an opposite edge, given a specific diagonal distance. The problems are set at level 2, indicating they may require a moderate understanding of the concept. The topic is designed to help students spatially visualize and calculate dimensions in 3D geometric shapes.

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

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

Math worksheet on 'Pythagorean Theorem 3D - Prism - Hypotenuse to Dimension (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 point of BC is 11. What is the depth?

a

12

b

16

c

7

d

5

e

4

f

13

2

The distance from point A to the center point of BC is 11. What is the depth?

a

12

b

4

c

10

d

6

e

2

f

13

3

The distance from point A to the center point of BC is 12. What is the depth?

a

2

b

12

c

7

d

1

e

8

f

11

4

The distance from point A to the center point of BC is 9. What is the depth?

a

1

b

16

c

7

d

8

e

2

f

6