volume of composite solids

Front

What is the formula for the volume of a cylinder?

Back

V = 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

V = (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

V = 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 formula for the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is a composite solid?

Back

A composite solid is a three-dimensional shape made up of two or more simple shapes.

Tags

CCSS.1.G.A.2

Front

How do you find the volume of a composite solid?

Back

Calculate the volume of each simple shape and then add them together.

Tags

CCSS.5.MD.C.5C

Front

What is the value of π (pi) commonly approximated as?

Back

π is commonly approximated as 3.14.

Tags

CCSS.HSG.GMD.A.1

Front

If a cylinder has a radius of 3 in and a height of 5 in, what is its volume?

Back

V = π(3 in)²(5 in) = 45π in³ ≈ 141.37 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a cone has a radius of 2 m and a height of 6 m, what is its volume?

Back

V = (1/3)π(2 m)²(6 m) = (8/3)π m³ ≈ 33.51 m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What two solids make up a typical composite solid in geometry?

Back

Common combinations include cylinders and cones, or rectangular prisms and spheres.

Tags

CCSS.1.G.A.2