AnswersCREDIT RE-SEAT MNPS Integrated Math III IC S2 25-26Unit Test

Unit Test — Unit test Answers

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Half of a sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The height of the cone is 14 millimeters.

Question illustration
A
144π mm3
B
168π mm3
C
312π mm3
D
456π mm3
2
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The area of the regular pentagon is 6.9 cm2.

Question illustration
A
2 cm
B
5 cm
C
10 cm
D
20 cm
3

Circle L is shown. Line segments K L and M L are radii. The length of K L is 12. Angle M L K is 60 degrees. Sector M L K with a 60 degree angle is shaded.

Question illustration
A
12
Option A
B
24
Option B
C
120
Option C
D
144
Option D
4

The volume of the triangular block is 4 cubic inches.

Question illustration
A
1.4 in.
B
2.0 in.
C
2.8 in.
D
3.5 in.
5

A solid oblique pyramid has a regular pentagonal base. The base has an edge length of 2.16 ft and an area of 8 ft2. Angle ACB measures 30°.

Question illustration
A
5 ft3
B
9 ft3
C
14 ft3
D
19 ft3
6

A sports company wants to package a ball with a 1.5-inch radius in sets of two. They have two options: a cylinder or a square prism.

Question illustration
A
the prism because it has approximately 11.6 in.3 less wasted space than the cylinder.
B
the prism because it has approximately 14.1 in.3 less wasted space than the cylinder.
C
the cylinder because it has approximately 11.6 in.3 less wasted space than the prism.
D
the cylinder because it has approximately 14.1 in.3 less wasted space than the prism.
7

A solid right pyramid has a regular hexagonal base with an area of 5.2 cm2 and a height of h cm.

Question illustration
A
(5.2)h cm3
Option A
B
(5.2)h cm3
Option B
C
(5.2)h cm3
Option C
D
(5.2)h cm3
Option D
8

A regular pentagon is shown.

Question illustration
A
5.88 cm
B
8.09 cm
C
12.36 cm
D
17.01 cm
9

Circle C is shown. Radius A has a length of r.

Question illustration
A
32
Option A
B
64
Option B
C
256
Option C
D
1024
Option D
10

The volume of an object is equal to the ratio of its mass to density, V = . The mass of a spherical grape is 8.4 grams and its density is 2 grams per cubic centimeter.What is the radius of the grape? Round to the nearest tenth of a centimeter.

Question illustration
A
1.0 cm
B
1.5 cm
C
1.9 cm
D
2.1 cm
11

An oblique prism has a volume of 144 cubic units. The area of its base is 24 square units.What is the perpendicular height of the prism?

A
2 units
B
4 units
C
6 units
D
8 units
12

An oblique cylinder is shown.

Question illustration
A
120π
B
130π
C
300π
D
325π
13

Circle B is shown. Line segments A B and C B are radii. The length of A B is 6. Sector A B C is shaded.

Question illustration
A
6
Option A
B
9
Option B
C
18
Option C
D
36
Option D
14

A solid right pyramid has a regular hexagonal base with an area of 7.4 units2. The pyramid has a height of 6 units.

Question illustration
A
11.1 units3
B
14.8 units3
C
22.2 units3
D
44.4 units3
15

An oblique prism with a square base of edge length x units has a volume of x3 cubic units. Which expression represents the height of the prism?

Question illustration
A
x units
B
x units
Option B
C
2x units
D
x units
Option D
16

A cone is stacked on top of a cylinder. They both share a circular base. The total height of the composite figure is 25. The height of the cylinder is 13 and the radius is 5.

Question illustration
A
(52)(13) – (52)(12)
Option A
B
(52)(13) – (52)(25)
Option B
C
(52)(13) + (52)(12)
Option C
D
(52)(13) + (52)(25)
Option D
17

The regular hexagon has a radius of 4 in.

Question illustration
A
24 in.2
B
42 in.2
C
48 in.2
D
84 in.2
18

A solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units.

Question illustration
A
320π cubic units
B
597π cubic units
C
640π cubic units
D
725π cubic units
19

The right triangular prism has a volume of 1,152 cm3.

Question illustration
A
6
B
8
C
12
D
16
20

Circle G and X connect at point Y. The length of G Y is 10 centimeters and the length of Y X is 16 centimeters.

Question illustration
A
10
Option A
B
16
Option B
C
356
Option C
D
676
Option D

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