Volume of Prisms Pyramids Cylinders and Cones

The two figures are similar. Find the scale factor of the figure on the left to the figure on the right. Then find the ratio of surface areas and the ratio of volumes.

• 2:9, 4:81, 8:729

• 2:9, 4:9, 4:81

• 2:9, 4:81, 14:6561

• 2:9, 8:729, 4:81

Find the volume of this square pyramid.

• 214.8 m³

• 586.7 m³

• 1818.2 m³

• not enough information

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CCSS.HSG.GMD.A.3

Determine whether each pair of solids is similar, congruent or neither. If the solids are similar, state the scale factor( use column :)

(a)  

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CCSS.8.G.A.2

Determine whether each pair of solids is similar, congruent or neither. If the solids are similar, state the scale factor

(a)  

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CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Two similar pyramids have slant heights of 6 inches and 12 inches. What is the ratio of the surface area of the small pyramid to the surface area of the large pyramid?( use column :)

(a)  

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CCSS.7.G.B.6

Two rectangular prism are similar. The height of the first prism is 6 yards and the height of the other prism is 9 feet. If the volume of the first prism is 810 cubic yards, what is the volume of the other prism?( Type numerical part only)

(a)  

Two suitcases are similar rectangular prisms. The smaller suitcase is 68 centimeters long,47 centimeters wide, and 27 centimeters deep. The larger suitcase is 85 centimeters long.

a. What is the scale factor of the prisms?( use column :)

(a)  

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CCSS.7.G.A.1

Two suitcases are similar rectangular prisms. The smaller suitcase is 68 centimeters long,47 centimeters wide, and 27 centimeters deep. The larger suitcase is 85 centimeters long.

B. what is the volume of the larger suitcase? round to the nearest tenth.( Type numerical part only)

(a)  

What is the surface area of the smaller solid shown below?(Type as improper fraction, numerical only)

(a)  

Two tents are in the shape of hemispheres, with circular floors. The ratio of their floor area is 9:12.25. If the diameter of the smaller tent is 6 teet, what is the volume of the larger tent? round to the nearest tenth.

(a)