Cavalieri's Principle and Volume of Composite Figures Answers

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Which right prism would have the same volume as a square prism with a base area of 36 m2 and a height of 3 m?

A
[Image: A right triangular prism is shown. The triangle ha...]
Option A
B
[Image: A rectangular prism is shown. The rectangle has si...]
Option B
C
[Image: A triangular prism is shown. The triangle has a ba...]
Option C
4

3.615.94✔ 7.77

A
3.61
B
5.94
C
✔ 7.77
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⇒ 17.1

Answer:

4.8

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⇒ 44

Answer:

105

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Complete the statements about the two cones.

Answers:
The volumes of the cones are equal when .:a = b
If a > b, then the cross-sectional area of cone A is the cross-sectional area of cone B at every level parallel to their respective bases.:greater than
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equal toless than✔ greater than

A
equal to
B
less than
C
✔ greater than
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Which statements about the composite figure are true? Check all that apply.

A
The composite figure consists of two rectangular pyramids.
B
The composite figure can be broken down into rectangular prisms.
C
The volume of the composite figure is 1.5(9)(5) + 1.5(9)(5).
D
The total volume is 45 units3.
E
The total volume is 90 units3.
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Which expression represents the volume of the composite figure?

A
(2)(4.4)(5) + (2)(4.4)(3.9)
Option A
B
(2)(4.4)(5) – (2)(4.4)(3.9)
Option B
C
(2)(4.4)(5) – (2)(4.4)(3.9)
Option C
D
(2)(4.4)(5) + (2)(4.4)(3.9)
Option D
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Complete the steps to calculate the density of the steel.

Answers:
Calculate the volume of the cylinder. Round to the nearest hundredth. V = cm3:0.06
Calculate the density by dividing the mass by the volume. d = g/cm3:7.77
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It costs the same to produce both packages, so the company wants to reduce the amount of wasted space, or space not taken by the balls. Which package should the company choose?

A
the cylinder because it has about 27.5 in.3 less wasted space than the prism
B
the cylinder because it has about 61 in.3 less wasted space than the prism
C
the prism because it has about 22.5 in.3 less wasted space than the cylinder
D
the prism because it has about 67 in.3 less wasted space than the cylinder
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Complete the steps to calculate the density of the steel.

Answers:
Calculate the volume of the cylinder. Round to the nearest hundredth. V = cm3:0.06
Calculate the density by dividing the mass by the volume. d = g/cm3:7.77

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