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10.06 Modeling with 3D figures

Adaptive
Worksheet

Interactive practice questions

Find the surface area of the brickwork for this silo. Assume that there is a brick roof and no floor.

A cylindrical silo made of bricks has a height of 6.68 m and a radius of 2.24 m, both dimensions are indicated by scale lines. 

 

Give your answer correct to two decimal places.

Easy
2min

The diagram shows a water trough in the shape of a half cylinder.

Easy
4min

Ivan is using a toilet paper roll for crafts. He has measured the toilet paper roll to have a diameter $8$8 cm and a length $11$11 cm.

Easy
2min

A paint roller is cylindrical in shape. It has a diameter of $6.8$6.8cm and a width of $31.2$31.2cm. Find the area painted by the roller when it makes one revolution, correct to the nearest $0.01$0.01 cm2.

Medium
2min
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Outcomes

G.N.Q.A.1

Use units as a way to understand real-world problems.*

G.N.Q.A.1.A

Use appropriate quantities in formulas, converting units as necessary.

G.N.Q.A.1.B

Define and justify appropriate quantities within a context for the purpose of modeling.

G.N.Q.A.1.C

Choose an appropriate level of accuracy when reporting quantities.

G.MG.A.1

Use geometric shapes, their measures, and their properties to model objects found in a real-world context for the purpose of approximating solutions to problems.*

G.MP1

Make sense of problems and persevere in solving them.

G.MP2

Reason abstractly and quantitatively.

G.MP3

Construct viable arguments and critique the reasoning of others.

G.MP4

Model with mathematics.

G.MP5

Use appropriate tools strategically.

G.MP6

Attend to precision.

G.MP7

Look for and make use of structure.

G.MP8

Look for and express regularity in repeated reasoning.

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