Exploring Volume of Composite Figures

What shapes are primarily discussed for creating composite figures?

• Triangles and rectangles

• Cylinders, prisms, cones, and spheres

• Cubes and squares

• Pyramids and circles

Tags

CCSS.5.MD.C.5C

What is the first step in calculating the volume of a composite figure?

• Calculate the volume of each shape

• Draw the composite figure

• Identify the shapes involved

• Add the volumes together

Tags

CCSS.5.MD.C.5C

What is the first step in solving problems involving composite figures?

• Calculating the total volume

• Identifying the individual shapes

• Drawing the figure

• Measuring the dimensions

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How is the volume of a hemisphere calculated from the sphere's volume formula?

• Cube the radius

• Divide by 2

• Multiply by 2

• Square the result

Tags

CCSS.7.G.B.4

What is the radius of the hemisphere on top of the silo?

• 24 feet

• 12 feet

• 52 feet

• 6 feet

Tags

CCSS.5.MD.C.5C

If a composite figure consists of a cylinder and a hemisphere, what must be known to calculate its volume?

• The diameter of the base

• The height of the cylinder

• The radius of the hemisphere

• Both the height of the cylinder and the radius of the hemisphere

Tags

CCSS.2.G.A.1

CCSS.1.G.A.1

Combining two hemispheres results in which geometric shape?

• A cylinder

• A cone

• A cube

• A sphere

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the formula for the volume of a cylinder?

• Pi * radius^2 * height

• Pi * radius * height

• 2 * Pi * radius * height

• Pi * radius^2 / 3

Tags

CCSS.5.MD.C.5C

How do you determine the height of the cylinder when it is part of a composite figure with spheres?

• Add the radii of the spheres

• Subtract the radii of the spheres from the total height

• Subtract the diameter of the sphere from the total height

• Use the diameter of the spheres as the height

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What additional step is necessary when calculating the volume of a cone compared to a cylinder?

• Divide by 3

• Cube the radius

• Multiply by 3

• Square the height

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3