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Geometry Volume and Scale Factor

Authored by Anthony Clark

Mathematics

8th Grade

CCSS covered

Geometry Volume and Scale Factor
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14 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

It takes 6 cubic inches of colored sand to fill a plastic cone. How many cubic inches will it take to fill a plastic cylinder with the same base and height as the cone?

2

12

18

24

Tags

CCSS.3.MD.A.2

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

and Δ DEF are shown on the coordinate grid below. Which series of transformations describes one way that Δ DEF could be transformed to produce Δ ABC?

a dilation from the origin using a scale factor of 2, a reflection across the x-axis, and then a translation 10 units to the left

a dilation from the origin using a scale factor of 3, a reflection across the x-axis, and then a translation 10 units to the left

a dilation from the origin using a scale factor of 2, a reflection across the y-axis, and then a translation 4 units up

a dilation from the origin using a scale factor of 3, a reflection across the y-axis, and then a translation 4 units up

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

A silo is a building shaped like a cylinder used to store grain. The diameter of a particular silo is 6.5 meters, and the height of the silo is 12 meters. Which equation can be used to find V, the volume of this silo in cubic meters?

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Snacks at a county fair are sold in containers shaped like a cone or a cylinder. The dimensions of each container are shown in the drawing. Which statement about the volumes of the cone and cylinder is true?

The volume of the cylinder is about 377 cubic inches greater than the volume of the cone.

The volume of the cylinder is about 377 cubic inches less than the volume of the cone.

The volume of the cylinder is about 25 cubic inches greater than the volume of the cone.

The volume of the cylinder is about 25 cubic inches less than the volume of the cone.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

A cone and ints dimensions are shown in the diagram. Which measurement is closest to the volume of the cone in cubic inches?

186.38 in3

248.50 in3

745.51 in3

62.13 in3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

If the area of the blue square is 25 in2 and the area of the green square is 169 in2, what is the area of the yellow square?

12 in2

144 in2

194 in2

13.9 in2

Tags

CCSS.8.G.B.8

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

A sphere and its dimensions are shown in the diagram. Which measurement is closest the the volume of the sphere in cubic inches?

1,325.4 in3

188.5 in3

94.2 in3

1,767.1 in3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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