What is the surface area of a square pyramid?

The surface area of a square pyramid is given by the formula: $$\frac{1}{2}pl + b$$ , where $$p$$ is the perimeter of the base, $$l$$ is the slant height, and $$b$$ is the area of the base.

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

The lateral surface area of a cylinder is given by the formula: $$2\text{π}rh$$ , where $$r$$ is the radius and $$h$$ is the height.

Calculate the surface area of a cylinder with radius 3 in and height 5 in. Leave answer in terms of pi.

The surface area is $$2\text{π}(3)(5) + 2\text{π}(3)^2 = 30\text{π} + 18\text{π} = 48\text{π} \text{ in}^2$$ .

What is the surface area of a rectangular prism with dimensions 4 in, 5 in, and 6 in?

The surface area is $$2(4*5 + 5*6 + 6*4) = 2(20 + 30 + 24) = 2(74) = 148 \text{ in}^2$$ .

What is the total surface area of a cone?

The total surface area of a cone is given by the formula: $$\text{π}r(l + r)$$ , where $$r$$ is the radius and $$l$$ is the slant height.

What is the surface area of a hemisphere?

The surface area of a hemisphere is given by the formula: $$3\text{π}r^2$$ , where $$r$$ is the radius.

What is the relationship between surface area and volume?

Surface area and volume are both measures of a three-dimensional object's size, but surface area measures the extent of the surface, while volume measures the space contained within.

What is the surface area of a triangular prism?

The surface area of a triangular prism is given by the formula: $$\text{Base Area} + \text{Lateral Area}$$ .

Surface Area Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of surface area?

Back

Surface area is the total area that the surface of a three-dimensional object occupies.

2.

FLASHCARD QUESTION

Front

What is the formula for the surface area of a cube?

Back

3.

FLASHCARD QUESTION

Front

What is the formula for the surface area of a cylinder?

Back

4.

FLASHCARD QUESTION

Front

What is the formula for the surface area of a sphere?

Back

5.

FLASHCARD QUESTION

Front

What is a net in geometry?

Back

A net is a two-dimensional representation of a three-dimensional shape that can be folded to form the shape.

6.

FLASHCARD QUESTION

Front

What shape is the vertical cross-section of a cylinder?

Back

The vertical cross-section of a cylinder is a rectangle.

7.

FLASHCARD QUESTION

Front

How do you calculate the surface area of a prism?

Back

To calculate the surface area of a prism, find the area of the base and multiply by the height, then add the areas of the lateral faces.

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