Pythagorean Theorem 3D - Prism - Hypotenuse to Dimension (Full) (Level 1)

This math topic focuses on applying the Pythagorean theorem in three dimensions, particularly related to prisms. The problems involve determining one dimension of a prism (the depth) while knowing the hypotenuse distance between two points (A to B). This topic requires understanding and manipulating the three-dimensional Pythagorean theorem to solve for the missing dimension given the total distance between two diagonal endpoints. Each question presents a different distance and set of potential depths to further challenge problem-solving skills.

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 1)'. 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 9. What is the depth?

a

2

b

6

c

15

d

3

e

8

f

13

2

The distance from point A to point B is 3. What is the depth?

a

2

b

6

c

1

d

7

e

10

f

3

3

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

a

9

b

4

c

2

d

13

e

6

f

12

4

The distance from point A to point B is 7. What is the depth?

a

1

b

3

c

8

d

6

e

10

f

5

5

The distance from point A to point B is 6. What is the depth?

a

4

b

2

c

5

d

9

e

7

f

11