Which block is made of the densest material? | Block | Mass (g) | Length (cm) | Breadth (cm) | Height (cm) | |-------|----------|-------------|--------------|-------------| | A | 480 | 5 | 4 | 4 | | B | 360 | 10 | 4 | 3 | | C | 800 | 10 | 5 | 2 | | D | 600 | 5 | 4 | 3 |

To determine which block is made of the densest material, we need to calculate the density for each block. Density is defined as mass per unit volume and is given by the formula:
Density = Volume Mass ​
Let's calculate the volume of each block first. The volume of a rectangular block is calculated using the formula:
Volume = Length × Breadth × Height
Block A:

Mass = 480 g
Volume = 5 × 4 × 4 = 80 cm 3

Density of A: Density = 80 480 ​ = 6 g/cm 3
Block B:

Mass = 360 g
Volume = 10 × 4 × 3 = 120 cm 3

Density of B: Density = 120 360 ​ = 3 g/cm 3
Block C:

Mass = 800 g
Volume = 10 × 5 × 2 = 100 cm 3

Density of C: Density = 100 800 ​ = 8 g/cm 3
Block D:

Mass = 600 g
Volume = 5 × 4 × 3 = 60 cm 3

Density of D: Density = 60 600 ​ = 10 g/cm 3
From the calculations, we find that Block D has the highest density of 10 g/cm³. Therefore, Block D is made of the densest material.

Answered by BenjaminOwenLewis | 2025-07-21