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

This topic focuses on applying the Pythagorean Theorem within three-dimensional spaces, specifically involving rectangular prisms and cubes. The main skill practiced is calculating hypotenuse distances from a point to a central point of a face, by interpreting and solving problems presented in a three-dimensional context. Four questions challenge the understanding of spatial relationships and the application of Pythagorean principles in 3D geometry. Each problem includes a visual depiction of the scenario along with multiple choice answers, enhancing problem-solving skills in practical geometrical applications.

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

Pythagorean Theorem 3D - Prism - Dimensions to Hypotenuse (Half Depth) Worksheet

Math worksheet on 'Pythagorean Theorem 3D - Prism - Dimensions to Hypotenuse (Half Depth) (Level 3)'. Part of a broader unit on 'Pythagorean Theorem in 3D - Intro' Learn online: app.mobius.academy/math/units/pythagoras_3d_intro/

1

What is the distance from point A to the center point of BC on this Rectangular Prism?

a

24

b

20

c

12

d

9

e

7

f

15

2

What is the distance from point A to the center point of BC on this Rectangular Prism?

a

9

b

5

c

14

d

15

e

20

f

23

3

What is the distance from point A to the center point of BC on this Cube?

a

23

b

11

c

15

d

9

e

10

f

17

4

What is the distance from point A to the center point of BC on this Rectangular Prism?

a

15

b

24

c

17

d

8

e

18

f

5