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

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15 questions

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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

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