Volume of Composite Shapes

Front

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

Back

The volume V of a rectangular prism is given by the formula: V = length × width × height.

Tags

CCSS.7.G.B.6

Front

How do you find the volume of a cylinder?

Back

The volume V of a cylinder is calculated using 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

What is a composite shape?

Back

A composite shape is a figure that is made up of two or more simple shapes, such as rectangles, triangles, and circles.

Tags

CCSS.1.G.A.2

Front

How do you calculate the volume of a composite shape?

Back

To find the volume of a composite shape, calculate the volume of each simple shape separately and then sum them up or subtract as necessary.

Tags

CCSS.5.MD.C.5C

Front

What is 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 volume of a sphere?

Back

The volume V of a sphere is calculated using the formula: V = (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 that includes a cylinder and a cone?

Back

Calculate the volume of the cylinder and the cone separately using their respective formulas, then add the two volumes together.

Tags

CCSS.5.MD.C.5C

Front

What is the significance of π in volume calculations?

Back

π (pi) is a constant approximately equal to 3.14, used in formulas for volumes of shapes involving circles, such as cylinders and spheres.

Front

What is the volume of a composite figure that consists of a cube and a hemisphere?

Back

Calculate the volume of the cube using V = side³ and the hemisphere using V = (2/3)πr³, then add the two volumes.

Tags

CCSS.5.MD.C.5C

Front

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

Back

The volume V of a triangular prism is given by the formula: V = (1/2) × base × height × length.

Tags

CCSS.7.G.B.6