AnswersSS26 Math 3 S2 M3960OXCavalieri's Principle and Volume of Composite Figures

Cavalieri's Principle and Volume of Composite Figures — Unit test Answers

15 verified answers
1
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The height of a right rectangular prism is 3 units greater than the length of the base. The edge length of the square base is x units.Which expression represents the volume of the prism, in cubic units?

A
x3 + 9
B
x3 + 3x2
C
x3 + 3x + 3
D
x3 + 6x2 + 9x
2
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A solid right pyramid has a square base. The length of the base edge is 4 cm and the height of the pyramid is 3 cm.

Question illustration
A
12 cm3
B
16 cm3
C
32 cm3
D
48 cm3
3

A grain silo is composed of a cylinder and a hemisphere. The diameter is 4.4 meters. The height of its cylindrical portion is 6.2 meters.

Question illustration
A
37.1 m3
B
71.9 m3
C
116.5 m3
D
130.8 m3
4

A solid oblique pyramid has a square base with edges measuring x cm. The height of the pyramid is (x + 2) cm.

Question illustration
A
cm3
Option A
B
cm3
Option B
C
cm3
Option C
D
cm3
Option D
5

A cross section is made by the intersection of a plane and a square pyramid at an angle either parallel or perpendicular to the base.The cross section can be which of these shapes? Select three options.squaretriangletrapezoidcirclenon-square rectangle

A
square
B
triangle
C
trapezoid
D
circle
E
non-square rectangle
6

Cheng likes a modern lawn sculpture made of four identical solid right pyramids with square bases. He decides to create an exact copy of the sculpture, so he needs to know what volume of sculpting material to purchase.He measures each edge of each base to be 2 feet. The height of the whole sculpture is 6 feet.

Question illustration
A
2 ft3
B
4 ft3
C
6 ft3
D
8 ft3
7

An oblique prism has a square base and height of 3 centimeters.

Question illustration
A
30 cm3
B
45 cm3
C
60 cm3
D
75 cm3
8

A right prism has a rhombus as a base. The height of the prism is 6 inches and the volume is 144 cubic inches.Which could be the lengths of the diagonals of the rhombus?

A
2 in. by 12 in.
B
4 in. by 11 in.
C
6 in. by 8 in.
D
8 in. by 9 in.
9

The perimeter of triangle ABC is 82 inches. The triangle is rotated about a line that passes through points B and D.

Question illustration
A
a cone with base radius of 17 in.
B
a cone with base radius of 34 in.
C
a triangular pyramid with side length of 17 in.
D
a triangular pyramid with side length of 34 in.
10

A solid right pyramid has a square base with an edge length of s units and a height of h units.

Question illustration
A
s2h units3
Option A
B
s2h units3
Option B
C
s2h units3
D
3s2h units3
11

How many edges does a rectangular prism have?

A
6
B
8
C
10
D
12
12

The radius of the sphere is 10 units.

Question illustration
A
42 cubic units
B
126 cubic units
C
4187 cubic units
D
73,385 cubic units
13

An oblique square prism is shown.

Question illustration
A
x(x – 2) cubic units
B
x(x +1) cubic units
C
x2(x – 2) cubic units
D
x2(x +1) cubic units
14

A polygon with 3 sides is stacked to form a prism.

Question illustration
A
square
B
trapezoid
C
triangle
D
non-square rectangle
15

A triangular prism is shown. A cylinder is cut out of the center of the prism. The triangular base has side lengths of 14 and 10 units. The heights of both the cylinder and prism are 8 units. The cylinder has a diameter of 5 units.

Question illustration
A
(14)(10)(8) – π(2.52)(8)
Option A
B
(14)(10)(8) + π(2.52)(8)
Option B
C
(10)(8)(14) – π(2.52)(8)
Option C
D
(10)(8)(14) + π(2.52)(8)
Option D

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