â¢â¢50

Transcription

â¢â¢50
Name
Secondary 3H ~ QUIZ S.2
1.
period
The state of Connecticut has an area of 4,845 square miles. In 2011, Connecticut had a
population of 3,580,709. What was the population density of Connecticut in 2011?
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A designer wants to manufacture storage bins in the shape of rectangular prisms. Each bin will
have a volume of 9 cubic feet. The designer wants to choose the dimensions of a bin so that the
bases of the prism are squares and the bin's surface area is minimized. What dimensions should
the designer choose for the bins? Show all work.
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The table shows the mass and volume of different metals. Find the density of each.
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a) Aluminum
b)
Cesium
c) Gold
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331
"
H/3
Substance
Aluminum
Cesium
Gold
Mass (g)
135
308.8
482.5
339
Volume (cm^)
50
160
25
30
A florist recommends that you should grow 4 Flower A plants per square foot, and 9 Flower B
plants per square foot. If you want to grow 50 plants each^of Flower A and Flower B, how many
more square feet of garden space do you need for the Flower A plants than for the Flower B
plants?
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Name:
Period:
Secondary 3 Honors Quiz 8.3
1. The areas of two similar rhombuses are 48
perimeters?
and 128 rn^. What is the ratio of their
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The scale factor of two similar polygons is given. Find the ratio of their perimeters and the ratio of
their areas.
2.
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of- ^xrms
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4. jVind the values of x and y when the smaller triangle has an area of 12 cm^.
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12 cm
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period
date
Name
Sec. 3H~ QUIZ 8.4 and 8.5
1. Meteorites (mostly dust-particle size) are continually bombarding Earth. The surface area of Earth is
The area of the United States is about 3.7 million mi^.
What is the
probability that a meteorite landing on Earth will land in the United States?
3.-7
„
3
OR
5.05%,
2^Find the probability that a coordinate x of a point chosen at random on AK satisfies the inequality:
5 < 11 - 6x
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3. Assume that a dart you throw will land on the 12 in.-by-12 in. square dartboard and is equally likely
to land at any point on the board. The diameter of the center circle is 2 in., and the width of each
ring is 1 in. What is the probability of hitting just the outer ring?
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4. For the polyhedron, use Euler's Formula to find the missing number:
edges = 15, vertices - 9, faces =
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5. A cube has a net with area 216 iv}.
How long is an edge of the cube?
Name:
mc
Period:
(^)
Secondary 3 Honors Quiz 8.6
The volumes of two^imilar containers are 115 in^ and 67 in^. The surface area of the smaller
container is 108 in*: What is the surface area of the larger container?
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Two similar prisms have heights 4 cm and 10 cm.
a.
What is their scale factor
b. What is the ratio of the surface areas?
c.
What is the ratio of their volumes?
The volume of a spherical balloon with radius 3.1 cm is about 125 cm\e the volume of a
similar balloon w i t h raid su 6.2 cm.
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The volumes of two similar pyramids are 1331 cm^ and 2744 cm^.
^
a.
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Rind the ratio of their heights.
b. Find the ratio of their surface areas.
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Name:
Period:
5.
6.
Square pyramids A and B are similar. In pyramid A, each base edge is 12 cm. In pyramid B, each
base edge is 3 cm, and the volume is 6 cm^.
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a.
Find the volume of pyramid A.
b.
Find the ratio of the surface area of A to the surface are of ff^
,
A clown's face on a balloon is 4 in. tall when the balloon holds 108 in^ of air. How much air must
the balloon hold for the face to be 8 inches tall?
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