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

This math topic focuses on applying the Pythagorean Theorem in three-dimensional contexts to solve problems with prisms, specifically finding the depth. The specific skill practiced is determining the depth when given the hypotenuse to the midpoint of a prism's edge (half depth). Each problem provides different numerical scenarios to help understand the relationship between the hypotenuse and depth dimensions in three dimensions. Scenarios are presented where the hypotenuse value varies, and multiple-choice answers are provided to evaluate the depth.

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

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

Math worksheet on 'Pythagorean Theorem 3D - Prism - Hypotenuse to Dimension (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

The distance from point A to the center point of BC is 14. What is the depth?

a

4

b

10

c

8

d

2

e

1

f

17

2

The distance from point A to the center point of BC is 15. What is the depth?

a

3

b

4

c

2

d

5

e

12

f

8

3

The distance from point A to the center point of BC is 13. What is the depth?

a

6

b

14

c

12

d

2

e

4

f

8

4

The distance from point A to the center point of BC is 15. What is the depth?

a

9

b

10

c

2

d

1

e

15

f

13

5

The distance from point A to the center point of BC is 15. What is the depth?

a

12

b

11

c

4

d

7

e

2

f

6