topic 7 review
Post on 19-Jul-2015
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Composite Figures
NERF BALLGame!
Play!
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BACK
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?
BACK
50 POINTS
ANSWERANSWERCylinder -> V=πr2hCone -> V= 1/3πr2h
What are the formulas for the volume of a Cylinder and a Cone?
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50 POINTS
ANSWERANSWER
Pyramid -> V= 1/3Bh
What is the formula for the volume of a pyramid?
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50 POINTS
ANSWERANSWER
An apex!
What do you call the top point of a cone or a pyramid?
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50 POINTS
ANSWERANSWER
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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ANSWERANSWER
3 times!
How many times does a cone fit inside a Cylinder of the same radius and height?
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50 POINTS
ANSWERANSWERParallel-> CirclePerpendicular -> Rectangle
What are the parallel and perpendicular cross sections
of a cylinder? Draw them.
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50 POINTS
ANSWERANSWERParallel -> circlePerpendicular -> Triangle
What are the parallel and perpendicular cross sections
of a cone?
BACK
100 POINTS
ANSWERANSWER
A Sphere.
What solid will you get if you rotate a circle around an
axis?
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ANSWERANSWER
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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ANSWERANSWER
None of them.
The four solids below have the same radius and height. Which ones have the same volume?
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ANSWERANSWER
55, 296 cm3
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100 POINTS
ANSWERANSWER
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?
BACK
250 POINTS
ANSWERANSWER
Two lines!
What cross section will you get when you intersect two cones like this?
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250 POINTS
ANSWERANSWER
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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250 POINTS
ANSWERANSWER
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:
BACK
250 POINTS
ANSWERANSWER
V=πr2h
What formulas would you use to find the volume of this ice
cream sandwich?
BACK
500 POINTS
ANSWERANSWER
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?
BACK
500 POINTS
ANSWERANSWER
Find the volume of the cube and subtract the volume of the cylinder
inside.
How can you find the volume of this composite figure?
BACK
1000 POINTS
ANSWERANSWERThe height must be doubled
ANSWERANSWER
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
ANSWERANSWER
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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1000 POINTS
ANSWERANSWER
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
ANSWERANSWER
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
ANSWERANSWER
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
BACK
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?
BACK
1000 POINTS
ANSWERANSWERVolume of a sphere and volume of a cylinder.
What formulas must be used to find the volume of this composite figure?
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