Pythagorean Theorem 3D - Prism - Dimensions to Hypotenuse (Half Depth) (Level 2)

This math topic covers the application of the Pythagorean Theorem in 3D geometry, specifically focusing on calculating the distance from a specified point on a rectangular prism or cube to the midpoint of an edge. The problems involve a variety of scenarios in which students must apply the theorem to find the hypotenuse (distance) in three dimensions, requiring insight into spatial geometry and critical thinking. This is part of an introductory unit on the Pythagorean Theorem applied to three-dimensional shapes.

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 2)'. 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

9

b

6

c

17

d

21

e

8

f

13

2

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

a

11

b

18

c

6

d

15

e

17

f

14

3

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

a

19

b

11

c

12

d

2

e

6

f

16

4

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

a

15

b

9

c

20

d

11

e

14

f

3