Question

What is the missing width of a rectangular prism with a length of 6cm, a height of 4 cm , and a surface area of 188cm^2?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the missing width of the rectangular prism, we first need to calculate the total surface area of the prism using the formula:

Surface Area = 2lw + 2lh + 2wh

Given:
Length (l) = 6cm
Height (h) = 4cm
Surface Area = 188cm^2

Now, substitute the values into the formula and solve for the missing width (w):

188 = 2(6)(w) + 2(6)(4) + 2(w)(4)
188 = 12w + 48 + 8w
188 = 20w + 48

Subtract 48 from both sides:

140 = 20w

Divide by 20:

w = 7

Therefore, the missing width of the rectangular prism is 7cm.