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Problem of the Week
Problem B
Painting Stones

Iwa wishes to add three stepping stones to her garden. Two of the stepping stones are identical rectangular prisms and the third is a prism made up of two rectangular prisms. The dimensions of the top face of each of the three stepping stones are shown in the diagram below.

A description of the top faces follows.

  1. Iwa wants to paint the top faces of the three stones. What is the area that she will paint?

  2. Iwa realizes that the side faces of the prisms will also be seen and, therefore, she wants to paint these as well. If these stones all have height of \(6 \text{ cm}\), what is the total area that she will actually paint?

  3. She wants to put edging tightly around each of the stepping stones. What length of edging will she need?

Theme: Geometry & Measurement