Changing Dimensions of 3-D Figures

Question 1

Which cone is similar to a right cone with a height of 3 ft and a base with a diameter of 5 ft?

Revolt · Accepted Answer

D:

Question 2

Question 2

Revolt · Accepted Answer

122103

Question 3

Which statements are correct? Check all that apply.

Revolt · Accepted Answer

A: The angles in the smaller prism measure 90 degrees.; B: The perimeter of the rectangular bases changes by a factor of 2.; E: The area of the rectangular bases changes by a factor of 4.

Question 4

One rectangular solid with a square base has twice the height of another rectangular solid with a square base with the same side length. Which statements about the two rectangular solids are true? Check all that apply.The bases are congruent.The solids are similar.The ratio of the volumes of the first solid to the second solid is 8:1.The volume of the first solid is twice as much as the volume of the second solid.If the dimensions of the second solid are x by x by h, the first solid has 4xh more surface area than the second solid.

Revolt · Accepted Answer

A: The bases are congruent.; D: The volume of the first solid is twice as much as the volume of the second solid.; E: If the dimensions of the second solid are x by x by h, the first solid has 4xh more surface area than the second solid.

Question 5

The volumes of two similar solids are 729 inches3 and 125 inches3. If the surface area of the smaller solid is 74.32 inches2, what is the surface area of the larger solid? Round to the nearest hundredth.

Revolt · Accepted Answer

B: 240.80 in.2

Question 6

If the volume of the larger sphere is π units3, determine the following measures. scale factor = radius of smaller sphere = units radius of larger sphere = units volume of smaller sphere = π units3

Revolt · Accepted Answer

Selection 1: 5/3; Selection 2: 3; Selection 3: 5; Selection 4: 36

Question 7

Which value of x would make the two cones similar?

Revolt · Accepted Answer

D:

Question 8

⇒ 2,600

Revolt · Accepted Answer

122110

Question 9

If the dimensions of a shipping box are all doubled, how many staplers can the larger box hold?

Revolt · Accepted Answer

D: 192 staplers

Question 10

Two triangular pyramids are similar. The volume of the larger pyramid is 729 cm3 , and the volume of the smaller pyramid is 64 cm3. If the perimeter of the base of the smaller pyramid is 8 cm, what is the perimeter of the base of the larger pyramid?

Revolt · Accepted Answer

A: 18 cm

Changing Dimensions of 3-D Figures Answers

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