The value of the solid's surface area is equal to the value of the solid's volume. find the value of x. 5*6*x

Given

a cuboid with length, width, height dimensions 5, 6, x

Find

the value of x that makes the numerical value of the total surface area equal to the numerical value of the volume

Solution

The volume is given by

... V = L·W·H = 5·6·x = 30x

The area is given by

... A = 2 (L·W + H (L+W)) = 2 (5·6 + x (5+6)) = 2 (30 + 11x) = 60 + 22x

When these are equal, we have

... 30x = 60 + 22x

... 8x = 60

... x = 7.5

The desired value of x is 7.5.