Given I=30in, w=20in h =18in and x=36.1in find the length of d round the answer to the nearest tenth

Answer 1

To find the length of d, we can use the formula for the surface area of a rectangular prism:

Surface Area = 2lw + 2lh + 2wh

Given that the width (w) is 20in, the height (h) is 18in, and the length (l) is unknown (represented as d in this case), we can calculate the surface area using the given values:

30in = 2(20in)(d) + 2(20in)(18in) + 2(18in)(d)

Simplifying this equation, we get:

60in^2 = 40in(d) + 720in^2 + 36in(d)

Combining like terms, we have:

60in^2 = 40in(d + 36in) + 720in^2

Subtracting 40in(d + 36in) from both sides, we get:

60in^2 - 40in(d + 36in) = 720in^2

Simplifying further:

60in^2 - 40ind - 1440in^2 = 0

Rearranging the terms, we have:

-1380in^2 - 40ind = 0

Factoring out a common factor of -40in, we get:

-40in(35in + d) = 0

Setting this expression equal to zero, we have:

35in + d = 0

Subtracting 35in from both sides, we find:

d = -35in

However, since the length cannot be negative in this context, we can conclude that there is no valid solution for the length of d given the provided dimensions.