Question

(1) A square has an area of 240cm squared. What is the length of each side? Leave in simplest radical form.

(2) A cube has a volume 2160cm cubed. What is the length of each side? Leave in simplest radical form.

Answer 1

(1) A of square =
`l`²

if Area = 240 cm²
then
`l`² = 240 cm²

⇒ √(
`l`²) = √(240 cm²)

⇒
`l` = √(16 × 15)


`l` = 4√15



(2) V of square =
`l`³

if Volume = 2160 cm³
then
`l`³ = 2160 cm³

⇒ √(
`l`³) = ∛(2160 cm³)

⇒
`l` = ∛(216 × 10)


`l` = 6 ∛10