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6. A rectangular block of wood has length 6.0 cm, width 5.0 cm and height 10.0 cm. It has mass l50g. What is the mass of a block of the same type of wood of length 3.0 cm, width 5.0 cm and height 20.0 cm?

User Flame
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2 Answers

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Final answer:

To find the mass of a block with different dimensions but made of the same type of wood, you can use the concept of volume and density. The mass of the second block is also 150 g.

Step-by-step explanation:

To find the mass of a block with different dimensions but made of the same type of wood, you can use the concept of volume and density. The volume of the first block is given by length * width * height, which is 6.0 cm * 5.0 cm * 10.0 cm = 300 cm³. The density is given by mass / volume, so the density of the wood is 150 g / 300 cm³ = 0.5 g/cm³.

The volume of the second block is given by the new dimensions, which are 3.0 cm * 5.0 cm * 20.0 cm = 300 cm³, which is the same as the first block's volume. Since the volume is the same and the wood has the same density, the mass will also be the same. Therefore, the mass of the second block is also 150 g.

User Mubeen Khan
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The mass would also be 150g like the first block of wood. Both of their volumes are 300 cm^2, and since they are the same type of wood they have the same density. Therefore following d=m/v, they have the same mass
User MoarDonuts
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