Answer:
Height = 12.5 cm
Step-by-step explanation:
We are given ;
Mass of silver element = 886 g
Density of silver = 8.86 g/mL
The dimensions of the sample;
Length = 4 cm s
Width = 2 cm
We are required to find the height of the sample metal
Step 1: Calculate the volume of the sample
Density = Mass÷ Volume
Rearranging the formula
Volume = Mass ÷ Density
= 886 g ÷ 8.86 g/mL
= 100 mL
But,1 mL = 1 cm³
Therefore, Volume of the sample is 100 cm³
Step 2: Height of the sample
Volume = length × width × height
Rearranging the formula
Height = V÷ LW
= 100 cm³ ÷ (2 cm × 4 cm )
= 100 ÷ 8
= 12.5 cm
Therefore the height is 12.5 cm