The Exciting Calculation of Volume and Density!

What are the dimensions and mass of a rectangular block?

The rectangular block has dimensions 2.9 cm × 3.5 cm × 10.0 cm and a mass of 615.0 g. What is the volume and density of the block?

Answer:

The rectangular block has a volume of 101.5 cm³ and a density of 6.06 g/cm³, which corresponds to option (a).

To find the volume and density of the rectangular block, we can use the formula for volume, which is the product of the length, width, and height for a rectangular solid. The volume (V) of the block is: V = length × width × height V = 2.9 cm × 3.5 cm × 10.0 cm V = 101.5 cm³

Now, to find the density (ρ) of the block, we use the formula: ρ = mass / volume ρ = 615.0 g / 101.5 cm³ ρ = 6.06 g/cm³

Therefore, the correct answer includes the volume of 101.5 cm³ and the density of 6.06 g/cm³, which corresponds to option (a).