Is it possible to find a value of $x$x so that the value of the surface area (in square inches) is equal to the value of the volume (in cubic inches)? A rectangular prism with length labeled x inches, width labeled 6 inches, and height labeled 3 inches.

No, it’s not possible according to calculations

Step-by-step explanation:

Mathematically, the area of a rectangular prism is;

2(wl + wh + lh)

Where w is the width, l is the length and h is the height;

Making the substitutions with values in the question

Surface area = 2(6x + 3x + 3(6))

Surface Area = 2(9x + 18) = 18x + 36 square inches

Volume of rectangular prism = l * w * h

Making substitutions;

V = x * 6 * 3 = 18x cubic inches

So therefore to get the value of x, we equate the surface area to the volume;

18x = 18x + 36

We can see that 18x will cancel out and will render our equation invalid

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

answer: what is the question you're trying to ask?

step-by-step explanation: