Composite Solids Surface Area & Volume Practice

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What is a composite solid?

Back

A composite solid is a three-dimensional shape that is made up of two or more basic geometric shapes, such as cylinders, spheres, and cones.

Tags

CCSS.1.G.A.2

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How do you find the volume of a composite solid?

Back

To find the volume of a composite solid, calculate the volume of each individual shape and then add them together.

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CCSS.5.MD.C.5C

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What is the formula for the volume of a cylinder?

Back

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

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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What is the formula for the volume of a sphere?

Back

The volume of a sphere is given by the formula V = (4/3)πr³, where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

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

Front

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

Back

The surface area of a sphere is given by the formula SA = 4πr², where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the surface area of a composite solid?

Back

To calculate the surface area of a composite solid, find the surface area of each individual shape and then add them together, making sure to account for any overlapping areas.

Tags

CCSS.3.MD.C.7D

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What is the importance of rounding in volume calculations?

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Rounding is important in volume calculations to provide a simpler, more understandable number, especially when dealing with real-world measurements.

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What units are used for measuring volume?

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Common units for measuring volume include cubic centimeters (cm³), cubic meters (m³), and cubic feet (ft³).

Tags

CCSS.3.MD.A.2

Front

What units are used for measuring surface area?

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Common units for measuring surface area include square centimeters (cm²), square meters (m²), and square feet (ft²).