Similar Solids Answers
Claire built two similar wooden chests in the shape of rectangular prisms. She needed 6 pints of paint to cover the outside of the larger chest fully and 4 pints to cover the outside of the smaller chest. How much more volume does the larger chest contain?
Analyze the diagram below and complete the instructions that follow. The two cylinders are similar. Find the volume of the larger cylinder. Round your answer to the nearest hundredth.
Analyze the diagram below and complete the instructions that follow.Given that the two rectangular prisms are similar, find the scale factor and the ratio of their surface areas.
Analyze the diagram below and complete the instructions that follow. The two cones are similar. Find the surface area of the smaller cone. Round your answer to the nearest hundredth.
Analyze the image below and complete the instructions that follow.
Responses may vary but should include some or all of the following information: The scale factor is 1:1000, which means the volume ratio of the model to the actual Grand Canyon is 1:1000^3, or 1:1,000,000,000. This ratio applies to the volume of the canyon and model as a whole, but it also applies to any part of the model and actual canyon, such as the river in the bottom. So there is 1,000,000,000 times more water in the actual canyon as in the model. Measuring the volume of water in the model and multiplying by 1,000,000,000 would allow you to approximate the volume of water in the canyon (obviously river levels, etc., affect the actual exact volume of water in the canyon at any given time). http://www.flickr.com/photos/aigle_dore/5824868343/
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