Question

volume of cube 125cube m find the edges of cube

Answer 1

Answer:

Area of 1 Face of Cube = 25 cm^2

Explanation:

Given: A cube

Volume of Cube = 125 cm^3

Units = Centimeters (cm)

Find: Area of 1 Face

Plan:

The face of a cube is a square.

Area Square = Side^2 = S^2

Volume (V) Cube = Side^3 => S = Cube Root of Side

V = 125 cm^3 => 3√125 = 5 cm ✅ (Note: 5 x 5 x 5 = 125)

Area Face = Side^2 = S^2 = 5^2 = 25 cm^2 ✅

Double Check - Ok

Answer: Area of 1 Face of Cube = 25 cm^2

Answer 2

Explanation:

Question :-

• Find the side of cube whose volume is 125 m³.

To Find :-

• Side of cube.

Solution :-

Given :

• Volume = 125 m³

By using the formula,

${\sf{\longrightarrow Volume\ of\ cube\ =\ a^3}}$

Where,

• a = length of the side

According to the question, by using the formula, we get :

${\sf{\longrightarrow Volume\ of\ cube\ =\ a^3}}$

${\sf{\longrightarrow 125\ =\ a^3}}$

${\sf{\longrightarrow \sqrt[3]{125}\ =\ a}}$

${\sf{\longrightarrow 5\ =\ a}}$

${\sf{\longrightarrow a\ =\ 5\ m}}$

$\therefore$ Hence, side of cube is 5 m.

More To Know :-

$\begin{array}{|c|c|c|}\cline{1-3}\bf Shape&\bf Volume\ formula&\bf Surface\ area formula\\\cline{1-3}\sf Cube&\tt l^3}&\tt 6l^2\\\cline{1-3}\sf Cuboid&\tt lbh&\tt 2(lb+bh+lh)\\\cline{1-3}\sf Cylinder&\tt {\pi}r^2h&\tt 2\pi{r}(r+h)\\\cline{1-3}\sf Hollow\ cylinder&\tt \pi{h}(R^2-r^2)&\tt 2\pi{rh}+2\pi{Rh}+2\pi(R^2-r^2)\\\cline{1-3}\sf Cone&\tt 1/3\ \pi{r^2}h&\tt \pi{r}(r+s)\\\cline{1-3}\sf Sphere&\tt 4/3\ \pi{r}^3&\tt 4\pi{r}^2\\\cline{1-3}\sf Hemisphere&\tt 2/3\ \pi{r^3}&\tt 3\pi{r}^2\\\cline{1-3}\end{array}$