Questions: Para chamar a atenção de seus clientes, uma empresa mandou instalar no pátio um monumento com o seu logotipo formado por paralelepípedos retângulos e com as medidas indicadas no desenho abaixo. V=6.3 .8 V=144 8 m V=3+2: 3 V=18

Solution Steps

The monument is composed of three rectangular prisms. We need to calculate the volume of each prism separately.

The dimensions of the first rectangular prism are 6m (length) x 3m (width) x 8m (height). \[ V_1 = 6 \times 3 \times 8 = 144 \, \text{m}^3 \]

The dimensions of the second rectangular prism are 3m (length) x 2m (width) x 3m (height). \[ V_2 = 3 \times 2 \times 3 = 18 \, \text{m}^3 \]

The dimensions of the third rectangular prism are 2m (length) x 2m (width) x 3m (height). \[ V_3 = 2 \times 2 \times 3 = 12 \, \text{m}^3 \]

Add the volumes of the three prisms to get the total volume of the monument. \[ V_{\text{total}} = V_1 + V_2 + V_3 = 144 + 18 + 12 = 174 \, \text{m}^3 \]

Final Answer