If the areas of three adjacent faces of a cuboidal box are 270cm^2, 162cm^2, 135cm^2 respectively , then find the volume of the box.
Answers
Answered by
9
Given, length * breadth = 270 cm^2.
Given, breadth * height = 162 cm^2.
Given, height * length = 135 cm^2.
We know that volume = length * breadth * height
On squaring both sides, we get
⇒ (v)^2 = (lbh)^2
⇒ v^2 = (270 * 162 * 135)^2
⇒ v^2 = 5904900
⇒ v = √5904900
⇒ v = 2430 cm^3
Therefore, volume of the box = 2430 cm^3.
Hope it helps!
Given, breadth * height = 162 cm^2.
Given, height * length = 135 cm^2.
We know that volume = length * breadth * height
On squaring both sides, we get
⇒ (v)^2 = (lbh)^2
⇒ v^2 = (270 * 162 * 135)^2
⇒ v^2 = 5904900
⇒ v = √5904900
⇒ v = 2430 cm^3
Therefore, volume of the box = 2430 cm^3.
Hope it helps!
Similar questions