AnswersINMT2 Integrated Math 2 Sem 2 26-27Changing Dimensions of 3-D Figures

Changing Dimensions of 3-D Figures — Unit test Answers

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The cube will be enlarged by a scale factor of 8. What will be the volume of the new cube?

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A
8 cubic units
B
64 cubic units
C
192 cubic units
D
4,096 cubic units
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The triangular prism has a volume of 27 cubic units.What will be the volume of the prism if each side is dilated by a factor ?

Question illustration
A
1 cubic unit
B
3 cubic units
C
8 cubic units
D
9 cubic units
23

Cavalieri’s principle states that if two solids of equal height have equal cross-sectional areas at every level parallel to the respective bases, then the two solids have equal volume.The two shaded solids both have a height of 2r units. At every level, the areas of the cross sections of both solids equal π(r2 – b2).

Question illustration
A
one cone within the cylinder.
B
the two cones within the cylinder.
C
the solid between the two cones and the cylinder.
D
the cylinder.
24

A right cylinder has a radius of 2 units and a height of 5 units.

Question illustration
A
31.4 cubic units.
B
62.8 cubic units
C
157.1 cubic units
D
314.2 cubic units.
25

The oblique pyramid has a square base.

Question illustration
A
2.5 cm3
B
5 cm3
C
6 cm3
D
7.5 cm3

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