Question

Find the side of a cube whose volume is same as the volume of cuboid measuring 9 cm x 12 cm
x 16 cm.​

Answer 1

Answer:

2036 is answer of questions

Answer 2

Answer:

Step-by-step explanation:

Question :-

• Find the side of a cube whose volume is same as the volume of cuboid measuring 9 cm × 12 cm × 16 cm.

To Find :-

• Side of cube.

Solution :-

Given : Volume of cube is same as volume of cuboid measuring 9 cm × 12 cm × 16 cm.

According to the question,

By using the formula,

${\sf{\longrightarrow Volume\ of\ cuboid\ =\ l \times b \times h}}$

Where,

• l = length
• b = breadth
• h = height

Finding volume of cuboid :

${\sf{\longrightarrow Volume\ of\ cuboid\ =\ l \times b \times h}}$

${\sf{\longrightarrow 9 \times 12 \times 16}}$

${\sf{\longrightarrow 1,728\ cm^3}}$

We know that, volume of cube is same as volume of cuboid. So, let's find the side of the cube.

By using the formula,

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

Where,

• a = length of the side

Finding side of cube :

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

${\sf{\longrightarrow 1,728\ =\ a^3}}$

${\sf{\longrightarrow \sqrt[3]{1,728}\ =\ a}}$

${\sf{\longrightarrow 12\ =\ a}}$

${\sf{\longrightarrow a\ =\ 12\ cm}}$

$\therefore$ Hence, side of cube is 12 cm.

More To Know :-

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