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

This math topic focuses on applying the Pythagorean Theorem in three-dimensional space, specifically within the context of a prism. Students are asked to solve for unknown dimensions, such as the depth, given the hypotenuse length between two points on the prism. This involves understanding how the theorem extends beyond two dimensions to calculate distances in three-dimensional geometry. The skill level is considered Level 2, requiring the ability to manipulate and solve equations derived from the Pythagorean Theorem in a three-dimensional space. This forms part of a broader unit introducing the Pythagorean Theorem in 3D.

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

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

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

a

14

b

1

c

6

d

4

e

12

f

3

2

The distance from point A to point B is 11. What is the depth?

a

8

b

2

c

3

d

4

e

7

f

6

3

The distance from point A to point B is 13. What is the depth?

a

9

b

4

c

8

d

7

e

1

f

2

4

The distance from point A to point B is 12. What is the depth?

a

10

b

8

c

5

d

3

e

7

f

15

5

The distance from point A to point B is 9. What is the depth?

a

5

b

4

c

12

d

8

e

10

f

7