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

This math topic focuses on using the Pythagorean Theorem in a three-dimensional context to find distances in geometric shapes like cubes and rectangular prisms. Specifically, the problems involve calculating the hypotenuse or straight-line distance from a given point to the center point of a face (identified by points such as BC) within these 3D shapes. Students are given multiple choices for each problem, allowing them to apply 3D Pythagorean principles to solve practical problems. This topic is an introductory level to Pythagorean Theorem in 3 dimensions.

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 1)'. 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

3

b

16

c

9

d

8

e

14

f

2

2

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

a

12

b

3

c

2

d

9

e

8

f

4

3

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

a

2

b

1

c

6

d

8

e

3

f

11

4

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

a

15

b

5

c

17

d

9

e

1

f

4

5

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

a

12

b

9

c

15

d

7

e

1

f

8

6

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

a

2

b

13

c

16

d

11

e

12

f

9