Question

Determine the density in kg/m 3 of a solid whose mass is 40 g and whose dimensions in cm are 80 mm × 4 mm × 3 mm.

Answer 1

Given :-

• Mass= 40g = 0.04kg
• Length of solid = 80mm = 0.08m
• Breadth of solid = 4mm = 0.004m
• Height of solid = 3mm = 0.003m

To find :-

• Density in kg/m³

Solution :-

As we know that

★ Volume of cuboid = volume of solid

→ Length × breadth × height

→ 0.08 × 0.004 × 0.003

→ 0.00000096 m³

→ Density = Mass/volume

→ Density = 0.04/0.00000096

→ Density = 4/96 × 100000000/100

→ Density = 1000000/24

→ Density = 41666.6kg/m³

Hence,

• Density of solid is 41666.6kg/m³

NOTE : 1m = 1000mm & 1kg = 1000kg

Answer 2

$\bf{\underline{\underline \blue{Solution:-}}}$

$\sf\underline{\red{\:\:\: AnswEr:-\:\:\:}}$

• Density of solid = 41666.6kg/m³

$\sf\underline{\red{\:\:\: Given:-\:\:\:}}$

• The mass of the solid= 40g = 0.04kg
• The length of the solid = 80mm = 0.08m
• The breadth of the solid = 4mm = 0.004m
• The height of the solid = 3mm = 0.003m

$\sf\underline{\red{\:\:\: Need\:To\: Find:-\:\:\:}}$

• Density of solid in kg/m³ = ?

$\bf{\underline{\underline \blue{Explanation:-}}}$

$\sf\underline{\red{\:\:\: We\:know\:that:-\:\:\:}}$

$\bigstar \: \boxed{ \sf \: Volume \:of \:the\:cuboid = volume \:of\:the\: solid }$

$\sf\underline{\red{\:\:\: Formula\:Used\: Here:-\:\:\:}}$

$\bigstar \: \boxed{ \sf \: Volume\:of\:a\: cuboid = Length \times Breadth \times Height}$

$\sf\underline{\green{\:\:\: Now,Putting\:the\: values:-\:\:\:}}$

$\dashrightarrow \sf {Volume = 0.08 \times 0.004 \times 0.003}$

$\dashrightarrow \sf {Volume = 0.00000096 \:m^3}$

$\sf\underline{\red{\:\:\: Again, Formula\:Used\: Here:-\:\:\:}}$

$\bigstar \: \boxed{ \sf \: Density = \frac{Mass}{Volume } }$

$\sf\underline{\green{\:\:\: Now,Putting\:the\: values:-\:\:\:}}$

$\dashrightarrow \sf { Density\:of\: solid = \dfrac{0.04}{0.00000096} }$

$\dashrightarrow \sf { Density\:of\: solid = \dfrac{4}{96} \times \dfrac{ 100000000}{100} }$

$\dashrightarrow \sf { Density\:of\: solid = \dfrac{1000000}{24} }$

$\dashrightarrow \sf { Density\:of\: solid = 41666.6kg/m^3}$

$\sf\underline{\green{\:\:\: ThereFore:-\:\:\:}}$

• Density of solid = 41666.6kg/m³

$\rule{200}{2}$