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High School Core Standards - Geometry Assessment Anchors

11.10 Similarity in solid figures

Interactive practice questions

Consider the rectangular prisms A and B shown.

a

Find the surface area of Rectangular Prism A.

b

Find the surface area of Rectangular Prism B.

c

What is the ratio of the surface area of Rectangular Prism A to Rectangular Prism B?

d

Is it true that if the matching sides of two similar figures are in the ratio $m$m:$3$3, then their surface areas are in the ratio $m^2$m2:$3^2$32?

True

A

False

B
Easy
5min

Two similar cones have matching heights and radii whose lengths are in the ratio $7$7:$2$2. Find the ratio of their surface areas.

Easy
1min

Two similar pyramids have matching sides in the ratio $2$2:$5$5. If the surface area of the larger pyramid is $250$250 cm2, find the surface area of the smaller pyramid.

Easy
2min

Consider the two similar spheres shown. The smaller sphere has radius $3$3 cm while the larger sphere has a radius of $12$12 cm.

Easy
5min
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Outcomes

G.2.3.1.1

Calculate the surface area of prisms, cylinders, cones, pyramids, and/or spheres. Formulas are provided on a reference sheet.

G.2.3.1.3

Find the measurement of a missing length given the surface area or volume.

G.2.3.2.1

Describe how a change in the linear dimension of a figure affects its surface area or volume (e.g., How does changing the length of the edge of a cube affect the volume of the cube?).

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