Composite Figures

NERF BALLGame!

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50 POINTS

ANSWERANSWERV= Bh -> V= lwh

Its parallel cross section is a square!

What is the formula for the volume of a Cube? What is its parallel cross section?

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ANSWERANSWERCylinder -> V=πr2hCone -> V= 1/3πr2h

What are the formulas for the volume of a Cylinder and a Cone?

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Pyramid -> V= 1/3Bh

What is the formula for the volume of a pyramid?

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An apex!

What do you call the top point of a cone or a pyramid?

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It will be a triangle!

A cone gets cut by a plane perpendicularly to its base. What shape will be its perpendicular cross section?

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3 times!

How many times does a cone fit inside a Cylinder of the same radius and height?

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ANSWERANSWERParallel-> CirclePerpendicular -> Rectangle

What are the parallel and perpendicular cross sections

of a cylinder? Draw them.

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ANSWERANSWERParallel -> circlePerpendicular -> Triangle

What are the parallel and perpendicular cross sections

of a cone?

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100 POINTS

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A Sphere.

What solid will you get if you rotate a circle around an

axis?

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A Torus (Donut)!

What solid will you get if you rotate this circle around an

axis?

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ANSWERANSWERA cylinder with a

cylindrical hole in the middle.

What solid will you get if you rotate this rectangle around the axis?

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None of them.

The four solids below have the same radius and height. Which ones have the same volume?

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55, 296 cm3

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The formula of a Rectangular Prism ->

V=lwh + The formula of a Pyramid with a square

base -> V= 1/3(lw)h

V= lwh + 1/3 (lw)h

Which formulas can be used to find the volume of this composite figure?

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250 POINTS

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Two lines!

What cross section will you get when you intersect two cones like this?

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An ellipse (oval)!

What cross section will you get when you intersect a cylinder with a plane that’s NOT parallel without touching its bases?

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Find the volume of the hemisphere and add it to

the volume of the cylinder.

How can you find the volume of the composite solid:

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250 POINTS

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V=πr2h

What formulas would you use to find the volume of this ice

cream sandwich?

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500 POINTS

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17.37 in3

John makes giant oreos at home. Each oreo is 0.5 inches thick and has a 4 inch diameter. They are filled with vanilla cream that is 0.5 inch high and reaches to 0.25 inches away from the edge of the cookie. What is the volume of each oreo?

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500 POINTS

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Find the volume of the cube and subtract the volume of the cylinder

inside.

How can you find the volume of this composite figure?

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1000 POINTS

ANSWERANSWERThe height must be doubled

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Sharon wants to double the volume of a can of soda. What does she need to double?

The height, the diameter, both?

6 in

6 in

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1000 POINTS

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48π

The volume of a sphere is 6π cubic inches. If the radius of

the sphere is doubled, what is the volume, in cubic inches,

of the new sphere?

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r = 3.00 cm

The volume of the given cylinder is 300 cubic units. What is its radius, to nearest

whole unit?

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1000 POINTS

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Find the volume of the half cylinder and

subtract it from the rectangular prism.

How can you find the volumeOf this composite figure?

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1000 POINTS

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B

Which solid can be used to derive

the volume of this pyramid? 8 in

8 in10 in

6 in

10 in

8 in

A

B

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1000 POINTS

ANSWERANSWERradius= 2.39 in

Diameter= 2.39 x 2 = 4.78 in

A woman put 36 cubic inches of sand inside an cone shaped bucket and flattened the top. The cone is 6 inches tall. What is the approximate diameter of the cone, in inches?

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1000 POINTS

ANSWERANSWERVolume of a sphere and volume of a cylinder.

What formulas must be used to find the volume of this composite figure?