Ex 8.2, 4 (i) - 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. (i) 5𝑎, 3𝑎^2, 7𝑎^4 Length = 5𝑎 , Breadth = 〖3𝑎〗^2, Height = 〖7𝑎〗^4 Volume = Length × Breadth × Height = 𝟓𝒂 × 〖𝟑𝒂〗^𝟐 × 〖𝟕𝒂〗^𝟒 = 5 × 𝑎 × 3 × 𝑎^2 × 7 × 𝑎^4 = (𝟓 × 𝟑 × 𝟕) × (𝒂 × 𝒂^𝟐 × 𝒂^𝟒 ) = 105 × 𝑎^(1 + 2 + 4) = 𝟏𝟎𝟓𝒂^𝟕