132k views
0 votes
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

User Geert
by
7.6k points

1 Answer

2 votes

Final answer:

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).

User Krakkos
by
8.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories