Sansue = Japanese Math for Kids 「英語で算数」

This site introduces problems of Sansue, i.e. mathematics which Japanese schoolchildren learn at elementary school. Problems are selected mainly from entrance examinations of famous junior high schools for 6th grade Japanese schoolchildren (12 years old) to take. We found Sansue is not only one of subjects at school but one of Japanese culture. Please enjoy Japanese Sansue culture.

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K.5 Solid made by rotation

There is a figure which combined right triangle ABC and rectangle BDEC as shown in the figure.

Find the total surface area of the solid made by making this figure rotate once around the line AE as a rotation axis.