Geometry - CW Similar Solids Practice

In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic inches. What is the ratio of their diameters?

• 4:13.5

• 2:9

• 2:3

• 4:13.5

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Two similar cylinders have surface areas of 40π ft² and 90π ft². What is the ratio of the height of the large cylinder to the height of the small cylinder?

• 4/9

• 2/3

• 8/27

• 16/81

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

Find the surface area of the larger solid given the information below.
V = 8m³
V = 27m³

SA = 36 m²
SA = ?

• 54 m²
• 81 m²
• 55 m²
• 76 m²

Tags

CCSS.6.G.A.4

A cylinder has its height cut in half. What happens to the volume?

• Stays the same

• Cut in half

• doubled

• decreases by an unknown amount

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The volume of a rectangular prism is 250 m³. If the height is multiplied by a scale factor of 1/2, what is the new volume?

• 250 m³

• 500 m³

• 125 m³

• 75 m³

Tags

CCSS.7.G.B.6

The diagonals of a rectangle are

• parallel
• congruent
• perpendicular
• not congruent

Tags

CCSS.HSG.CO.C.11

The fact that diagonals are ⊥ means this shape is a -?-

• quadrilateral
• rectangle
• rhombus
• parallelogram

Tags

CCSS.HSG.CO.C.11

Which equation could be used to solve for x?

• $\sin\left(37\right)=\frac{x}{14}$

• $\cos\left(37\right)=\frac{x}{14}$

• $\tan\left(37\right)=\frac{x}{14}$

• $\sin\left(37\right)=\frac{14}{x}$

Tags

CCSS.HSG.SRT.C.6

Find the radius of a cone that has a volume of 287π in³ and a height of 14 in.

• 2.6 in
• 61.5 in
• 4.5 in
• 7.8 in

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3