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

This math topic focuses on applying the Pythagorean Theorem in three dimensions specifically within prisms. It involves calculating the depth given the distance from a point to the center of a face of the prism, using a concept described as "Hypotenuse to Dimension (Half Depth)." Students face multiple-choice problems where they must deduce the correct depth from given options, based on the provided hypotenuse value. This is part of an introductory unit on 3D applications of the Pythagorean Theorem.

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 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 the center point of BC is 6. What is the depth?

a

4

b

7

c

10

d

5

e

11

f

2

2

The distance from point A to the center point of BC is 7. What is the depth?

a

2

b

5

c

1

d

9

e

4

f

6

3

The distance from point A to the center point of BC is 3. What is the depth?

a

10

b

8

c

1

d

2

e

11

f

6

4

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

a

2

b

10

c

4

d

8

e

1

f

11

5

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

a

11

b

4

c

6

d

9

e

7

f

5