Question

Find the length of the side of a cube whose total surface area measure 600 cm square.​

Answer 1

Step-by-step explanation:

a=10

A Surface area =600

Answer 2

Step-by-step explanation:

Question :-

• Find the side of cube whose surface area is 600 cm².

To Find :-

• Side of cube.

Solution :-

Given :

• TSA = 600 cm²

By using the formula,

${\sf{\longrightarrow TSA\ of\ cube\ =\ 6a^2}}$

Where,

• a = length of the side

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

${\sf{\longrightarrow TSA\ of\ cube\ =\ 6a^2}}$

${\sf{\longrightarrow 600\ =\ 6a^2}}$

${\sf{\longrightarrow \dfrac{600}{6}\ =\ a^2}}$

${\sf{\longrightarrow 100\ =\ a^2}}$

${\sf{\longrightarrow \sqrt{100}\ =\ a}}$

${\sf{\longrightarrow 10\ =\ a}}$

${\sf{\longrightarrow a\ =\ 10\ cm}}$

$\therefore$ Hence, side of cube is 10 cm.

More To Know :-

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