Question

A rectangular prism has a dimension x units ,2x units and x+8 units . Which expression represents the surface area of the prism ?!

Answer 1

Formula to find the surface area of the rectangular prism is:

2wl + 2lh + 2hw,

where w is width, l is the length, and h is height of the prism.

Given, the dimension x units ,2x units and x+8 units .

So, we can plug in w= x, l= 2x and h= x+8 in the above formula to get the expression for the surface area of the prism. Hence,

Surface area= 2wl + 2lh + 2hw

=2*x*2x+ 2*2x*(x+8)+2*(x+8)*x

= 4x²+4x(x+8)+2x(x+8) (By multiplying)

= 4x²+4x²+32x+2x²+16x (Multiplying by distribution)

=(4x²+4x²+2x²)+(32x+16x ) (Making the groups of like terms)

= 10x²+48x (Adding the like terms)

So, the expression 10x²+48x units² represents the surface area of the given prism.