(ENEM) Uma indústria fabrica brindes promocionais em forma de pirâmide. A pirâmide é obtida a partir de quatro cortes em um sólido que tem a forma de um cubo. No esquema, estão indicados o sólido original (cubo) e a pirâmide obtida a partir dele.[br][img width=360,height=140]data:image/png;base64,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[/img][br]Os pontos A, B, C, D e O do cubo e da pirâmide são os mesmos. O ponto O é central na face superior do cubo. Os quatro cortes saem de O em direção às arestas AD, BC, AB e CD, nessa ordem. Após os cortes, são descartados quatro sólidos