a) Cavalieri’s Principle states that any two objects with the same cross sectional areas and heights must have the same volume.

False - the cross sectional areas are not relevant

False - only the slant height is relevant

False - even if they have the same cross sectional areas and heights, they cannot have the same volume.

Determine whether the 3-D figures are congruent to each other. (Hint: Find the area of the cross-sectional shapes).

True. The cross-sectionals' area and the heights of the 3-D figures are the same. They don't have to be the same shape.

False. Although the cross-sectionals' area and heights of the 3-D figures are the same,the shapes are not congruent

False. The cross-sections are not the same shape.

True. All the shapes are 3-D figures and the same height.

Jenny says that the two prisms DO NOT have the same volume because the cross sections are not the same. Renee disagrees; she says that it isn't the shape that has to be the same but the area. Renee thinks they have the same volume. Who is correct?

Neither Jenny or Renee is correct.

Based on Cavalieri's Principle, will the two prisms have the same volume?

Yes, the heights of both prisms are the same and they have the same cross-sectional area. Therefore, they will have the same volume.

No, they will not be same. Although the heights are the same, the cross-sections are different shapes.

Lessons 5 and 6 Practice

Authored by Richard Zilm

Mathematics

10th Grade

Used 1+ times

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the volume of this rectangular prism?

60 cubic centimeters

15 cubic centimeters

20 cubic centimeters

6 cubic centimeters

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What does the "B" in the volume formula V = B x h stand for?

Bottom of the object

Box

Between

Area of the base

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the volume of the figure. Round to the nearest tenth.

80 cm³

40 cm²

80 cm²

40 cm³

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the volume of the Cylinder

7230

6621

1130

907

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Calculate the volume of the pyramid in the picture. Round to the nearest whole number if necessary.

216 yd³

108 yd³

72 yd³

36 yd³

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which of the measurements from the prism will you NOT use to calculate the volume?

6 ft

8 ft

10 ft

12 ft

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Describe the cross section.

triangle

rectangle

trapezoid

square

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Lessons 5 and 6 Practice

What is the volume of this rectangular prism?

What does the "B" in the volume formula V = B x h stand for?

Find the volume of the figure. Round to the nearest tenth.

Find the volume of the Cylinder

Calculate the volume of the pyramid in the picture. Round to the nearest whole number if necessary.

Which of the measurements from the prism will you NOT use to calculate the volume?

Describe the cross section.

What shape will the horizontal cross-section of a sphere be?

What shape will the vertical cross -section of a cylinder be?

Describe the cross-section.

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