volume of composite solids

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3)πr²h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a rectangular prism?

Back

Volume = lwh, where l is the length, w is the width, and h is the height.

Tags

CCSS.7.G.B.6

Front

What is the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the volume of a composite solid?

Back

Calculate the volume of each individual solid and then sum them up.

Tags

CCSS.5.MD.C.5C

Front

If the radius of a cylinder is doubled, how does the volume change?

Back

The volume increases by a factor of four.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between the volume of a cone and a cylinder with the same base and height?

Back

The volume of the cone is one-third the volume of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

Calculate the volume of a cylinder with a radius of 3 cm and a height of 5 cm. Use π = 3.14.

Back

Volume = 3.14 * (3 cm)² * (5 cm) = 141.3 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

Calculate the volume of a cone with a radius of 3 cm and a height of 5 cm. Use π = 3.14.

Back

Volume = (1/3) * 3.14 * (3 cm)² * (5 cm) = 47.1 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What 3D figures can make up a composite solid?

Back

Common figures include cylinders, cones, spheres, and rectangular prisms.

Tags

CCSS.1.G.A.2