Surface Area and Volume Flashcard

Front

What is the formula for the volume of a cylinder?

Back

The volume V of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the surface area of a prism?

Back

The surface area of a prism can be calculated using the formula: Surface Area = 2 * Base Area + Lateral Area.

Tags

CCSS.7.G.B.6

Front

What is the formula for the volume of a cone?

Back

The volume V of a cone is given by the formula V = (1/3)πr²h, where r is the radius of the base and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the value of π (pi) used in calculations?

Back

The value of π (pi) is approximately 3.14, but it can also be represented as 22/7 for some calculations.

Tags

CCSS.HSG.GMD.A.1

Front

How do you find the lateral surface area of a cylinder?

Back

The lateral surface area A of a cylinder is calculated using the formula A = 2πrh, where r is the radius and h is the height.

Front

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

Back

The total surface area A of a cylinder is given by the formula A = 2πr(h + r), where r is the radius and h is the height.

Front

How do you convert diameter to radius?

Back

The radius r is half of the diameter d, so r = d/2.

Tags

CCSS.7.G.B.4

Front

What is the relationship between volume and surface area in three-dimensional shapes?

Back

Volume measures the space occupied by a shape, while surface area measures the total area of its outer surfaces. They are related but represent different properties.

Front

How do you round numbers to the nearest tenth?

Back

To round to the nearest tenth, look at the hundredths place. If it is 5 or greater, round up the tenths place by one. If it is less than 5, keep the tenths place the same.

Tags

CCSS.5.NBT.A.4

Front

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

Back

The surface area A of a cone is given by the formula A = πr(r + l), where r is the radius of the base and l is the slant height.