Question

A student has a rectangular block with dimensions: 2cm wide, 3cm tall, 25cm long, and a mass of 600g. Calculate the volume of the block, then use it to determine the density of the block.

a) Volume: 150 cm³, Density: 4 g/cm³
b) Volume: 150 cm³, Density: 2 g/cm³
c) Volume: 300 cm³, Density: 4 g/cm³
d) Volume: 300 cm³, Density: 2 g/cm³

Answer 1

To find the density of the rectangular block, its volume is calculated as 150 cm³, and using the mass provided, the density is determined to be 4 g/cm³, corresponding to option (a).

Step-by-step explanation:

The first step in solving this problem is to calculate the volume of the rectangular block. The volume (V) of a rectangle is determined by the formula V = length × width × height. Therefore, using the dimensions given for the block:

V = 25 cm × 2 cm × 3 cm = 150 cm³.

Next, we determine the density (D) of the block using the formula D = mass (m) / volume (V). With a mass of 600 g and a volume of 150 cm³:

D = 600 g / 150 cm³ = 4 g/cm³.

Thus, the correct answer for the volume and density of the block is 150 cm³ and 4 g/cm³ respectively, which corresponds to option a).