GeoB_Wk14-12.9.1_Wayground Intro to Similar Solids Video Lesson

I am ready to watch the learning video and take notes.

• yes

• not yet

Mason is building two similar triangular pyramids for a school project. The surface area of the larger pyramid is 25 ft², and the surface area of the smaller pyramid is 4 ft². Find the following values for the pyramids, from left to right.

scale factor:​ (a)  

surface area ratio:​ (b)  

volume ratio:​ (c)  

• Scale Factor

• Surface Area Ratio

• Volume Ratio

Cone A ~ Cone B. The ratio of the surface area of Cone A to Cone B is 16:1.

Find the ratio of the radius of Cone A to Cone B, in fraction form.

Mathematical Equivalence

OFF

David is packing gifts into two different rectangular boxes that are similar in shape. The smaller box has a volume of 15 cm³, and the larger box has a volume of 405 cm³. What is the ratio of the height of the smaller box to the height of the larger box?

• 1:27

• 15:405

• 1:3

If the prisms are similar, find the value of x.

____ cm

Mathematical Equivalence

OFF

• 52

• 64

• 27

• 4

• 3

• 39

Maya and Scarlett each have a rectangular fish tank that are similar in shape. Maya's tank has a volume of 64 cm³ and Scarlett's tank has a volume of 216 cm³. What is the ratio of the heights of their tanks?

• 16:54

• 1:2

• 2:3

• 8:27

• 4:6

Priya is building two similar rectangular boxes for her art project. If the height of the larger box is 12 cm and the boxes are similar with a scale factor of 1:2, what is the height of the smaller box?

• 6 cm

• 24 cm

• 9 cm

• 12 cm

• 3 cm

Tags

CCSS.7.G.A.1

Emma is building two similar rectangular boxes for her art project. One box has a height of 5 cm and the other has a height of 15 cm. What is the ratio of the height of the smaller box to the larger box?

• 3:1

• 5:15

• 15:5

• 1:2

• 1:3

Tags

CCSS.7.G.A.1

Aria and Samuel each have a cone-shaped water bottle. The bottles are similar in shape, and the scale factor between their sizes is 8/27. What is the ratio of the volumes of their water bottles?

• 2/3

• 64/729

• 512/19683

• 8/27

Tags

CCSS.HSG.GMD.A.3

CCSS.HSG.GMD.A.1