Question

If the diagonal of a cube is root 75 cm then its surface area is

Answer 1

Hello Mate!

Diagonal length = √3 l

Diagonal length = √75 cm

√75 cm = √3 l

√75 / √3 cm = l

√25 cm = l

5 cm = l

Surface area of cube = 6l²

= 6 × 5²

= 6 × 25 = 150 cm²

Hence total surface area of cube is 150 cm²

Have great future ahead!

Answer 2

$hola \: mate \: \\ \\ \\ \\ \\ here \: is \: your \: answer \: \\ \\ \\ \\ \\ given \: diagonal \: of cube \: = \sqrt{75 } \\ \\ formula \: for \: diagonal \: of \: cube = \\ \sqrt{3 }length \\ \\length = \sqrt{75 \div \sqrt{25} } = \sqrt{25} \\ \\ = 5 \\ \\ side = 25 \\ \\ now \: surface \: area \: of \: cube \: = 6a {}^{2} \\ \\ \\ so > > > 6 \times 25 = 150cm {}^{2} \\ \\ hope \: it \: help \: you$