What is the area of the base of a pyramid with a square base?

The area of the base of a pyramid with a square base is given by: $$\text{Area} = \text{side}^2$$ , where side is the length of one edge of the base.

How do you calculate the lateral surface area of a cone with a radius of 4 inches and a slant height of 10 inches?

Using the formula: $$LSA = \text{π}rl = \text{π} \times 4 \times 10 = 40\text{π}$$ .

If a pyramid has a base area of 64 square inches and a slant height of 12 inches, what is the lateral surface area?

Using the formula: $$LSA = \frac{1}{2} \times \text{perimeter} \times \text{slant height}$$ . If the base is square, perimeter = 4 * side = 32, so LSA = $$\frac{1}{2} \times 32 \times 12 = 192$$ .

What is the total surface area of a cone with a radius of 3 inches and a slant height of 5 inches?

Using the formula: $$TSA = \text{π}r^2 + \text{π}rl = \text{π}(3^2) + \text{π}(3)(5) = 9\text{π} + 15\text{π} = 24\text{π}$$ .

What is the formula for the volume of a cone?

The volume (V) of a cone is given by the formula: $$V = \frac{1}{3} \text{π}r^2h$$ , where r is the radius and h is the height.

What is the formula for the volume of a pyramid?

The volume (V) of a pyramid is given by the formula: $$V = \frac{1}{3} \times \text{base area} \times \text{height}$$ .

How do you find the height of a cone if you know the radius and slant height?

Use the Pythagorean theorem: $$h = \text{slant height}^2 - r^2$$ .

What is the lateral surface area of a pyramid with a base edge length of 6 meters and a slant height of 10 meters?

Using the formula: $$LSA = \frac{1}{2} \times \text{perimeter} \times \text{slant height} = \frac{1}{2} \times 24 \times 10 = 120 \text{ square meters}$$ .

Topic 58 SA Pyramids and Cones Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the formula for the lateral surface area of a cone?

Back

2.

FLASHCARD QUESTION

Front

What is the formula for the total surface area of a cone?

Back

3.

FLASHCARD QUESTION

Front

What is the formula for the lateral surface area of a pyramid?

Back

4.

FLASHCARD QUESTION

Front

What is the formula for the total surface area of a pyramid with a square base?

Back

5.

FLASHCARD QUESTION

Front

How do you find the height of a pyramid given the slant height and base edge length?

Back

6.

FLASHCARD QUESTION

Front

What is the relationship between the slant height, height, and radius of a cone?

Back

7.

FLASHCARD QUESTION

Front

What is the area of the base of a cone?

Back

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

15 questions

Amplify Earth Moon Sun Chapter 1

Flashcard

•

8th Grade

9 questions

Classical and Medieval Art

Flashcard

•

KG

15 questions

paměť + pozornost

Flashcard

•

9th - 12th Grade

8 questions

Tablet Parts

Flashcard

•

KG

10 questions

Biomolecules Review

Flashcard

•

9th Grade

10 questions

Present Simple - Negative

Flashcard

•

10th Grade

12 questions

Future Simple Task

Flashcard

•

7th - 8th Grade

Popular Resources on Wayground

8 questions

Spartan Way - Classroom Responsible

Quiz

•

9th - 12th Grade

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

14 questions

Boundaries & Healthy Relationships

Lesson

•

6th - 8th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

3 questions

Integrity and Your Health

Lesson

•

6th - 8th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

9 questions

FOREST Perception

Lesson

•

KG

20 questions

Main Idea and Details

Quiz

•

5th Grade

Discover more resources for Mathematics

20 questions

Scatter Plots and Line of Best Fit

Quiz

•

8th Grade

12 questions

8th U6 L4 - Fitting a Line to Data

Quiz

•

8th Grade

25 questions

Scatter Plots and Line of Best Fit

Quiz

•

8th Grade

14 questions

finding slope from a graph

Quiz

•

8th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

20 questions

Pythagorean Theorem Review

Quiz

•

8th Grade

20 questions

Laws of Exponents

Quiz

•

8th Grade

11 questions

Adding and Subtracting Polynomials

Quiz

•

9th Grade