Homework similar Solids

What is the scale factor of the side lengths of the figure on the left to the figure on the right.

• 3/1

• 3240/120

• 27/1

• 9/1

What is the ratio of the surface areas from large to small. 

• 49/16
• 7/4
• 42/24
• 10/8

Tags

CCSS.7.G.B.6

If the cylinders below are similar, what is the ratio of the radius of the larger cylinder to the radius of the smaller cylinder?

• 4:1

• 18:3

• 2:1

• 43:10

The radius of sphere A is 2 inches. The radius of sphere B is 4 inches. How many times larger is the volume of sphere B than sphere A?

• 2

• 4

• 8

• 3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The surface area of a rectangular prism is 166 square feet. A similar prism has a surface area of 1494 square feet. If the length of the smaller prism is 5 feet, what is the length of the larger prism?

• 10

• 15

• 45

• 50

Tags

CCSS.7.G.B.6

A small cone has a radius of 3 cm and a height of 4 cm.

If a larger cone is similar to the small cone and their scale factor is 3,

then the radius of the larger cone = (a)   cm

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Two similar rectangular prisms have a scale factor of 4.

If the volume of the smaller prism is 64 cubic units,

then the volume of the larger prism = ___ un³.

• 4096

• 512

• 1024

• 256

If two figures are similar, the corresponding sides are ______________.

• equal
• congruent
• proportional
• none of these

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Which of the following is NOT true about similar figures?

• A) Similar figures always have the same shape.
• B) Similar figures always have the same size.
• C) Similar figures always have corresponding angles that are equal.
• D) Similar figures always have corresponding sides that are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Find the volume of the larger solid given the information below.
V = 125 m³
V = ? m³

SA = 200 m²
SA = 288  m²

• 150
• 180
• 200
• 216

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2