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

This math topic covers applying the Pythagorean Theorem in three-dimensional contexts, specifically using it to solve problems involving a rectangular prism. The primary skill practiced is calculating the depth based on the hypotenuse distance from a point to the center of one of the prism's faces, taking into account only half the height and half the depth dimensions. Multiple-choice questions are provided to test understanding, with each question having several possible depth values as answers.

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 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 of face BCDE is 9. What is the depth?

a

11

b

15

c

3

d

6

e

1

f

10

2

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

a

5

b

11

c

2

d

8

e

6

f

1

3

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

a

11

b

5

c

4

d

12

e

7

f

1

4

The distance from point A to the center of face BCDE is 6. What is the depth?

a

4

b

6

c

7

d

1

e

2

f

5

5

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

a

3

b

6

c

4

d

8

e

16

f

12