Question

find the length of the side of a cube whose total surface area measures 600 cm

Answer 1

Step-by-step explanation:

Given :

Total surface area of cube=600cm²

length of each side=s=?

Formula to be used :

Total surface area of cube=6x [side]²

600=6xs²

s²=600/6

=100

∴side=s=10cm

Answer 2

Given : Total surface area of a cube measures 600cm².

To Find : Edge of the cube.

⠀⠀⠀⠀⠀⠀⠀⠀ ⠀____________________

$\:$

Here

$\:$

• T.S.A of a cube = 600cm²

$\: \:$

As we know that :

$\: \:$

$\underline{\boxed{\tt\purple{\bigstar \: T.S.A \: of \: a \: cube \: = 6 {a}^{2} }}}$

$\:$

Where

$\:$

• "a" denotes edge of the cube.

$\:$

Put the value :

$\:$

$\tt:\implies \: 6 {a}^{2} = 600 \\ \\ \\ \tt:\implies \: {a}^{2} = \frac{600}{6} \\ \\ \\ \tt:\implies {a}^{2} = \cancel \frac{600}{6} \\ \\ \\ \tt:\implies \: {a}^{2} = 100 \\ \\ \\ \tt:\implies \: a = \sqrt{100} \\ \\ \\ \tt:\implies \: a = \sqrt{10 \times 10} \\ \\ \\\tt:\implies \: a = \underline{\boxed{\tt\purple{10cm}}}\bigstar \\ \\ \\ \\ \: \: \: \: \tt\therefore{\underline{Hence, \: the \: edge \: of \: the \: cube \: is \: \bold{10cm}.}}$

⠀⠀⠀⠀⠀⠀⠀⠀ ⠀ ____________________

More to know :

$\: \:$

• Volume of a cube = a³
• Total surface area of a cube = 6a²
• Curved surface area of a cube = 4a²
• Diagonal of a cube = √3a