Question

Fine in expanded form the total surface area

Answer 1

`38x^2+14x-6`

Explanation:

In the Cuboid in the figure, the length, width and height are given i.e

`Length(l)= 4x+3\\Width(w)=x\\Height(h)=3x-1`

Finding the Total surface area of the cuboid :

T.S.A of a cuboid=

`2[l*w+w*h+h*l]\\=2[(4x+3)*x+x*(3x-1)+(3x-1)*(4x+3)]`

Expanding the equation:

`2[(4x^2+3x)+(3x^2-x)+(12x^2+9x-4x-3)]\\2[4x^2+3x+3x^2-x+12x^2+5x-3)]\\2[19x^2+7x-3]\\38x^2+14x-6`

So, the expanded form of the area of the given cuboid is:

`38x^2+14x-6`