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.

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 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?

a

13

b

1

c

14

d

8

e

12

f

11

2

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

a

19

b

12

c

9

d

17

e

14

f

7

3

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

a

1

b

8

c

2

d

4

e

3

f

6

4

The distance from point A to the center of face BCDE is 13. What is the depth?

a

6

b

4

c

11

d

13

e

7

f

8

5

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

a

2

b

5

c

4

d

11

e

1

f

8