Question

The surface area of the rectangular prism is given by formula S=2(ab + bh + ah).Find the value of h when a= 9, b=9 and S = 234. Enter the next step.

A. h=2
B. h=3
C. h=4
D. h=5.

Answer 1

By substituting the given values into the surface area formula of a rectangular prism and solving for h, we find that the value of h is 2 when a and b are both 9 and the surface area S is 234.

Step-by-step explanation:

We are given the formula for the surface area of a rectangular prism, S = 2(ab + bh + ah), and we need to find the value of h when a = 9, b = 9, and S = 234. Substituting the values into the formula gives:

234 = 2(9×9 + 9×h + 9×h)

234 = 2(81 + 18h)

234 = 162 + 36h

Now, isolating h gives:

234 - 162 = 36h

72 = 36h

h = 72 / 36

h = 2

Therefore, the value of h when a and b are both 9 and S is 234 is 2.