A paving block is is in the shape of a prism, the area of it' cross section being 154cm^2.The prism i 17cm long ad the material from whih it is made has a density of 2.2g/cm^3. Calculate the mass of the paving block.
Please can you tell me the method aswell
thanks
Volume of prism
= cross-sectional area * height
= 154 cm2 * 17 cm
= 2618 cm3
Density = 2.2 g / cm3
Mass
= volume * density
= 2618 cm3 * 2.2 g / cm3
= 5759.6 g
= 5760 g (approx.)
To calculate the mass of the paving block, we can use the formula:
Mass = Volume * Density
First, we need to find the volume of the paving block. Since the paving block is in the shape of a prism, the cross section is a rectangle. The area of the cross section is given as 154 cm^2, and the length of the prism is 17 cm.
The formula for finding the volume of a prism is:
Volume = Area of Cross Section * Length
Plugging in the given values, we get:
Volume = 154 cm^2 * 17 cm = 2618 cm^3
Now, we have the volume of the paving block.
Next, we need to multiply the volume by the density of the material to get the mass. The density is given as 2.2 g/cm^3.
Mass = Volume * Density
Mass = 2618 cm^3 * 2.2 g/cm^3 = 5759.6 g
So, the mass of the paving block is 5759.6 grams, or approximately 5.76 kg.
To summarize:
1. Calculate the volume of the paving block using the formula: Volume = Area of Cross Section * Length.
2. Multiply the volume by the density of the material to get the mass using the formula: Mass = Volume * Density.