Question
A solid block of wood is a cuboid which measures 3cm by 4cm by 5cm. Its density is 0.65g/cm^3 Work out the mass of the block of wood.
Answer
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(290 Votes)
Zelda
Elite · Tutor for 8 years
Answer
1. Volume of block = length * width * height = 3 cm * 4 cm * 5 cm = 60 cm³.2. Mass of the block = density * volume = 0.65 g/cm³ * 60 cm³ = 39 g.So, the mass of the block of wood is 39 grams.
Explanation
The problem requires calculating the mass of a wooden block. We have measurements for the block's dimensions, and we know it has a regular cuboid shape. Therefore, it's possible to calculate the block's volume using the formula volume = length * width * height of any cuboid.Next, knowing the block's density, which is the amount of mass per unit of volume, we can find the mass of the block by rearranging the formula of density, defined as mass/volume: so, reformulated, it would be mass = density * volume.【Steps】:1. Calculating the volume of the wooden block: volume = length * width * height.2. Once we have the volume, finding the mass of the wooden block using the provided density is straightforward: mass = density * volume.Let's do the calculations.