Ex 8.2, 4 (iii) - Chapter 8 Class 8 Algebraic Expressions and Identities

Transcript

Ex 8.2, 4 Obtain the volume of rectangular boxes with the following length, breadth and height respectively. (iii) 𝑥𝑦, 2𝑥^2 𝑦, 2𝑥𝑦^2 Length = 𝑥𝑦, Breadth = 2𝑥^2 𝑦, Height = 2𝑥𝑦^2 Volume = Length × Breadth × Height = 𝒙𝒚 × 𝟐𝒙^𝟐 𝒚 × 𝟐𝒙𝒚^𝟐 = 𝑥 × 𝑦 × 2 × 𝑥^2 × 𝑦 × 2 × 𝑥 × 𝑦^2 = (𝟐 × 𝟐) × (𝒙 × 𝒙^𝟐 × 𝒙) × (𝒚 × 𝒚 × 𝒚^𝟐 ) = 4 × 𝑥^4 × 𝑦^4 = 𝟒𝒙^𝟒 𝒚^𝟒