# 3D Geometry Flashcards

Watch short & fun videos

**Start Your Free Trial Today**
3D Geometry Flashcards

1/19
(missed)
0
0

Start Your Free Trial To Continue Studying

Free 5-day trial
*It only takes a few minutes to set up and you can cancel at any time.*

###### Already registered? Login here for access

Find the volume of the pyramid.

Volume of a pyramid = (

Volume = 16 meters squared * 7 meters = 112 meters cubed

*B***h*)/3*B*= 4 * 4 = 16 meters squared*h*= 7 mVolume = 16 meters squared * 7 meters = 112 meters cubed

Got it

Missed it

Find the surface area of the pyramid.

Surface area of a pyramid =

Surface area = 16 + (16 * 9)/2 = 16 + 72 = 88 meters squared

*B*+ (*P***s*)/2*B*= 4 * 4 = 16 meters squared*P*= 4 + 4 + 4 + 4 = 16 m*s*= 9 mSurface area = 16 + (16 * 9)/2 = 16 + 72 = 88 meters squared

Got it

Missed it

Formula for the volume of a pyramid

Volume of a pyramid = (

*B***h*)/3*B*is the area of the base*h*is the height
Got it

Missed it

Formula for the surface area of a pyramid

Surface area of a pyramid =

*B*+ (*P***s*)/2*B*is the area of the base*P*is the perimeter of the base*s*is the slant height
Got it

Missed it

Volume of the pictured triangular prism

Volume of a prism =

Volume = 9 meters squared * 10 m = 90 meters cubed

*B * h**B*= 1/2 * 6 * 3 = 9 meters squaredVolume = 9 meters squared * 10 m = 90 meters cubed

Got it

Missed it

Surface area of this rectangular prism

Surface area of a prism = 2 *

Surface area = 2 * 12 + 14 * 9 = 24 + 126 = 150 meters squared

*B*+*P***h**B*= 3 * 4 = 12 meters squared*P*= 4 + 3 + 4 + 3 = 14 m*h*= 9 mSurface area = 2 * 12 + 14 * 9 = 24 + 126 = 150 meters squared

Got it

Missed it

Formula for the volume of a prism

Volume of a prism =

*B***h**B*is the area of the base*h*is the height
Got it

Missed it

Formula for the surface area of a prism

Surface area of a prism = 2 *

*B*+*P***h**B*is the area of the base*P*is the perimeter*h*is the height
Got it

Missed it

Define the term: Platonic Solid

Any three-dimensional shape where each face is the same polygon and each vertex (or corner) is the meeting point for the same number of polygons.

Got it

Missed it

### Ready to move on?

Go to next lesson in chapter:
Next lesson in chapter

or choose a specific lesson:
See all lessons in this chapter

19 cards in set

## Flashcard Content Overview

This flashcard set covers a wide array of 3D shapes. It includes practice learning the formulas for the surface area and volume of shapes, such as pyramids, cones, spheres, cylinders and prisms. It also includes practice problem flashcards for each of these shapes.

Front

Back

Define the term: Platonic Solid

Any three-dimensional shape where each face is the same polygon and each vertex (or corner) is the meeting point for the same number of polygons.

Formula for the surface area of a prism

Surface area of a prism = 2 *

*B*+*P***h**B*is the area of the base*P*is the perimeter*h*is the heightFormula for the volume of a prism

Volume of a prism =

*B***h**B*is the area of the base*h*is the heightSurface area of this rectangular prism

Surface area of a prism = 2 *

Surface area = 2 * 12 + 14 * 9 = 24 + 126 = 150 meters squared

*B*+*P***h**B*= 3 * 4 = 12 meters squared*P*= 4 + 3 + 4 + 3 = 14 m*h*= 9 mSurface area = 2 * 12 + 14 * 9 = 24 + 126 = 150 meters squared

Volume of the pictured triangular prism

Volume of a prism =

Volume = 9 meters squared * 10 m = 90 meters cubed

*B * h**B*= 1/2 * 6 * 3 = 9 meters squaredVolume = 9 meters squared * 10 m = 90 meters cubed

Formula for the surface area of a pyramid

Surface area of a pyramid =

*B*+ (*P***s*)/2*B*is the area of the base*P*is the perimeter of the base*s*is the slant heightFormula for the volume of a pyramid

Volume of a pyramid = (

*B***h*)/3*B*is the area of the base*h*is the heightFind the surface area of the pyramid.

Surface area of a pyramid =

Surface area = 16 + (16 * 9)/2 = 16 + 72 = 88 meters squared

*B*+ (*P***s*)/2*B*= 4 * 4 = 16 meters squared*P*= 4 + 4 + 4 + 4 = 16 m*s*= 9 mSurface area = 16 + (16 * 9)/2 = 16 + 72 = 88 meters squared

Find the volume of the pyramid.

Volume of a pyramid = (

Volume = 16 meters squared * 7 meters = 112 meters cubed

*B***h*)/3*B*= 4 * 4 = 16 meters squared*h*= 7 mVolume = 16 meters squared * 7 meters = 112 meters cubed

Formula for the surface area of a cylinder

Surface area of a cylinder = 2 * π *

*r** (*r*+*h*)Formula for the volume of a cylinder

Volume of a cylinder = π *

*r*2 **h*Find the surface area of this cylinder

Surface area of a cylinder = 2 * π *

= 2 * 3.14 * 3 * (3 + 5)

= 150.72 meters squared

*r** (*r*+*h*)= 2 * 3.14 * 3 * (3 + 5)

= 150.72 meters squared

Find the volume of the pictured cylinder

Volume of a cylinder = π *

= 3.14 * 32 * 5

= 141.3 meters cubed

*r*2 **h*= 3.14 * 32 * 5

= 141.3 meters cubed

Formula for the volume of a cone

Volume of a cone =

Find the volume of a cone with a radius of 2 m and a height of 5 m.

Volume of a cone = (π

= (3.14 * 22 * 5)/3

= (3.14 * 4 * 5)/3

= 62.8/3

= 20.93 meters cubed

*r*2*h*)/3= (3.14 * 22 * 5)/3

= (3.14 * 4 * 5)/3

= 62.8/3

= 20.93 meters cubed

Formula for the surface area of a sphere

Surface area of a sphere = 4 * π *

*r*2Formula for the volume of a sphere

Volume of a sphere = (4/3) * π *

*r*3Surface area of a sphere with a radius of 4 inches

Surface area of a sphere = 4 * π *

= 4 * 3.14 * 42

= 4 * 3.14 * 16

= 200.96 inches squared

*r*2= 4 * 3.14 * 42

= 4 * 3.14 * 16

= 200.96 inches squared

Volume of a sphere with a radius of 2 inches

Volume of a sphere = (4/3) * π *

= (4/3) * 3.14 * 23

= (4/3) * 3.14 * 8

= 33.49 inches cubed

*r*3= (4/3) * 3.14 * 23

= (4/3) * 3.14 * 8

= 33.49 inches cubed

To unlock this flashcard set you must be a Study.com Member.

Create your account

You are viewing lesson
Lesson
13 in chapter 16 of the course:

Back To Course

Geometry 101: Intro to Geometry16 chapters | 145 lessons | 11 flashcard sets

- Solve Line & Angle Problems in Geometry
- Practice with Shapes in Geometry
- Basics of Geometry Flashcards
- Logic & Proof in Mathematics Flashcards
- Intro to Geometric Figures Flashcards
- Triangle Properties & Construction Flashcards
- Parallel Lines & Polygons Flashcards
- Triangle Congruence, Ratios & Proportions Flashcards
- Similar Polygons Flashcards
- Quadrilaterals Overview Flashcards
- Circles Overview Flashcards
- Conic Sections Overview Flashcards
- 3D Geometry Flashcards
- Go to Studying for Geometry 101

#### Explore our library of over 35,000 lessons

Browse by subject