Question

A metal has a density of 8.0g/cm cube a solid cube of mass 1.0kg is made from this metal how long is each side of the cube?

Answer 1

Given :

A metal has a density of 8.0g/cm cube a solid cube of mass 1.0kg is made from this metal

• Density of metal = 8 g/cm
• Mass of a cube solid = 1kg

As we know that

Density = Mass × volume

Where density is denoted by D, mass is denoted by M and Volume is denoted by V

And, 1kg = 1000gm

Let's apply formula and solve the question

→ D = M × V

→ 8 = 1000 × V

→ V = 8/1000 cm³

Now we have to find out side of a solid cube. So, volume of a cube is a³ where a is side

→ V = a³

→ 8/1000 = a³

→ a = ³√8/1000

→ a = 2/10

→ a = 0.2 cm

Hence, each side of a cube is 0.2 cm

Answer 2

Answer:

Given :-

• A metal has a density of 8.0g/cm cube a solid cube of mass 1.0kg is made.

To Find :-

• How long metal is each side of the cube?

Solution :-

☣ Volume :-

$\red{ \boxed{\sf{Volume =\: \dfrac{Density}{Mass}}}}$

We have :

• Density = 8.0 g/cm
• Mass = 1000 g

➔ Volume = 8.0/1000

➔ Volume = 0.008 cm³

☣ Each side of the cube :-

We have :

• Volume = 0.008 cm³

$\red{ \boxed{\sf{Volume = (Side)^3}}}$

➙ 0.008 = (Side)³

➙ ∛0.008 = Side

➙ 0.2 = Side

➙ ${\large{\bold{\purple{\underline{Side = 0.2\: cm }}}}}$

Henceforth, the long metal is each side of the cube is 0.2 cm .

~~~~~~~~~~~~~~~~~~~~~~~

$\bigstar\:{\underline{\frak{Extra\: Brainly\: Shots :-}}}$

$\qquad\qquad\underline{\textsf{\textbf{ \color{magenta}{Volume :-} }}}$

• Volume is the quantity of three-dimensional space enclosed by a closed surface.

$\qquad\qquad\underline{\textsf{\textbf{ \color{magenta}{Mass :-} }}}$

• Mass is the amount of matter or substance that makes up an object.
• It is measured in units called kilograms, which can be abbreviated kg.

$\qquad\qquad\underline{\textsf{\textbf{ \color{magenta}{Density :-} }}}$

• The density of any solid is the mass of the object divided by its volume.
• The formula for density is: density = mass × volume.
• The standard units of density are kg/m 3 and g/cm 3.

HOPE IT HELPS YOU :)