G14a Similar Solids

Authored by Tara Brown

Mathematics

9th - 12th Grade

CCSS covered

Used 33+ times

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Two spheres have a similarity ratio of 1:3. The smaller sphere has a surface area of 16 ft²_. What is the surface area of the larger sphere.

48 ft²

144 ft²

432 ft²

32 ft²

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the ratio of the volumes from larger to smaller. (HINT* Find the ratio of the side lengths first)

5/4

125/64

25/16

10/8

Tags

CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.3

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Given two similar prisms with a scale factor of 3:4, which of the following is NOT true?

Ratio of their areas is 9:16

Ratio of their perimeters is 3:4

Ratio of their volumes is 27:64

Ratio of their corresponding angles is 3:4

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Two similar pyramids have heights of 4 inches and 7 inches. What is the ratio of the volume of the small pyramid to the volume of the large pyramid?

4:7

16:49

64:343

12:21

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.3

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the ratio of the surface areas from larger to smaller.

5/4

200/160

25/16

10/8

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.GMD.A.1

CCSS.HSG.SRT.A.3

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Pyramid X is similar to pyramid Y. The surface area of pyramid X is 135 cm² and the surface area of pyramid Y is 240 cm². If the volume of pyramid X is 189 cm³, then what is the volume of pyramid Y?

448 cm³

1061.9 cm³

252 cm³

336 cm³

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.3

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The ratio of the areas of two similar rectangles is 1:4. What is the ratio of the corresponding sides?

1:6

1:8

1:2

1:4

Tags

CCSS.HSG.SRT.A.2

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The volume of Pyramid A is $704\ cm^3$ and the volume of Pyramid B is $297\ cm^3$ . If the pyramids are similar and the surface area of Pyramid B is $153\ cm^2$ , find the surface area of Pyramid A.

$204\ cm^2$

$362.67\ cm^2$

$272\ cm^2$

$408\ cm^2$

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.3

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G14a Similar Solids

Two spheres have a similarity ratio of 1:3. The smaller sphere has a surface area of 16 ft²_. What is the surface area of the larger sphere.

What is the ratio of the volumes from larger to smaller. (HINT* Find the ratio of the side lengths first)

Given two similar prisms with a scale factor of 3:4, which of the following is NOT true?

Two similar pyramids have heights of 4 inches and 7 inches. What is the ratio of the volume of the small pyramid to the volume of the large pyramid?

Find the ratio of the surface areas from larger to smaller.

Pyramid X is similar to pyramid Y. The surface area of pyramid X is 135 cm² and the surface area of pyramid Y is 240 cm². If the volume of pyramid X is 189 cm³, then what is the volume of pyramid Y?

The ratio of the areas of two similar rectangles is 1:4. What is the ratio of the corresponding sides?

The ratio of the volumes of two spheres is 64:27. What is the ratio of the lengths of the radii of these two spheres?

If the ratio of the areas of two similar figures is 64:121, what is the ratio of their volumes?

The volume of Pyramid A is $704\ cm^3$ and the volume of Pyramid B is $297\ cm^3$ . If the pyramids are similar and the surface area of Pyramid B is $153\ cm^2$ , find the surface area of Pyramid A.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

G14a Similar Solids

Two spheres have a similarity ratio of 1:3. The smaller sphere has a surface area of 16 ft2. What is the surface area of the larger sphere.

What is the ratio of the volumes from larger to smaller. (HINT* Find the ratio of the side lengths first)

Given two similar prisms with a scale factor of 3:4, which of the following is NOT true?

Two similar pyramids have heights of 4 inches and 7 inches. What is the ratio of the volume of the small pyramid to the volume of the large pyramid?

Find the ratio of the surface areas from larger to smaller.

Pyramid X is similar to pyramid Y. The surface area of pyramid X is 135 cm2 and the surface area of pyramid Y is 240 cm2. If the volume of pyramid X is 189 cm3, then what is the volume of pyramid Y?

The ratio of the areas of two similar rectangles is 1:4. What is the ratio of the corresponding sides?

The ratio of the volumes of two spheres is 64:27. What is the ratio of the lengths of the radii of these two spheres?

If the ratio of the areas of two similar figures is 64:121, what is the ratio of their volumes?

The volume of Pyramid A is 704 cm3704\ cm^3704 cm3 and the volume of Pyramid B is 297 cm3297\ cm^3297 cm3 . If the pyramids are similar and the surface area of Pyramid B is 153 cm2153\ cm^2153 cm2 , find the surface area of Pyramid A.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Two spheres have a similarity ratio of 1:3. The smaller sphere has a surface area of 16 ft²_. What is the surface area of the larger sphere.

Pyramid X is similar to pyramid Y. The surface area of pyramid X is 135 cm² and the surface area of pyramid Y is 240 cm². If the volume of pyramid X is 189 cm³, then what is the volume of pyramid Y?

The volume of Pyramid A is $704\ cm^3$ and the volume of Pyramid B is $297\ cm^3$ . If the pyramids are similar and the surface area of Pyramid B is $153\ cm^2$ , find the surface area of Pyramid A.