Similar Solids Assessment

If the height of the rectangular prism is multiplied by a scale factor of 4, which of the following is true?

• The volume remains the same.
• The volume is eight times as large.
• The volume is also multiplied by a scale factor of 4.
• The volume increases by 4.

Tags

CCSS.5.MD.C.3

CCSS.5.MD.C.5

CCSS.5.NF.B.5

Look at the prisms. Which statement is true about the prisms?

• The surface area of prism A is 1/5 of the surface area of prism B.
• The volume of prism B is 5 times the volume of prism A.
• The volume of prism B is 1/5 of the volume of prism A. 
• The surface area of prism A is 1/2 fo the surface area of prism B.A

Tags

CCSS.7.G.B.6

CCSS.7.RP.A.2

Find the volume of the figure if the height is changed by a scale factor of 2.

• 672 cm³
• 336 cm³
• 36 cm³
• 412 cm³

If all the edges of a prism are multiplied by 5, then the volume of the prism will be multiplied by ___.

• 5
• 25
• 50
• 125

Tags

CCSS.HSG.GMD.A.3

When you triple the height, the volume _____

• Stays  the same
• Doubles
• Triples
• Quadruples

Two similar cones have a scale factor of 8/27. What is the ratio of their volumes?

• 2/3

• 64/729

• 512/19683

• 8/27

Tags

CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.3

If all of the dimensions of a triangular prism decreased by 1/3, how much would the volume decrease by?

• 1/27

• 1/9

• 1/3

• 1/6

Tags

CCSS.HSG.GMD.A.3

CCSS.HSG.SRT.A.1

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

Tags

CCSS.HSG.SRT.A.1

CCSS.HSG.SRT.A.2

Two spheres have a scale factor ratio of 1:3.  The smaller sphere has a surface area of 16 ft²_.  Find the surface area of the larger sphere.

• 48 ft²
• 144 ft²
• 432 ft²
• 32 ft²

Tags

CCSS.HSG.SRT.A.1

CCSS.HSG.SRT.A.2

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.GMD.A.1

CCSS.HSG.GMD.A.3