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

This math topic focuses on applying the 3D Pythagorean Theorem to calculate distances in a rectangular prism. Specifically, students are tasked with finding the distance from a given point (Point A) to the center of a face (BCDE) of the prism. Each problem involves determining this hypotenuse distance using the theorem, where distances like half the height and half the depth of the prism are utilized in calculations. The worksheet contains multiple-choice questions that allow students to practice and solidify their understanding of geometric principles in three-dimensional space.

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

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

Math worksheet on 'Pythagorean Theorem 3D - Prism - Dimensions to Hypotenuse (Half Height, 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 of face BCDE on this Rectangular Prism?

a

23

b

20

c

11

d

5

e

15

f

22

2

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

a

4

b

21

c

19

d

13

e

15

f

14

3

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

a

23

b

19

c

16

d

20

e

7

f

15

4

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

a

15

b

12

c

13

d

20

e

23

f

7