Question

a rectangular prism is 3 meters long, 4 meters wide, and has a total surface area of 94 square meters. what is it's height?

Answer 1

Surface area = 2(wl+hl+hw)

We know: 94 = 2((4)(3)+h(3)+h(4))

Simplified, that is: 2(12+7h) = 94

Use distributive property to get: 24+14h = 94

Next, subtract 24 from both sides to eliminate it: 14h = 70

Finally, divide both sides by 14: h=5

The rectangular prism is 5 meters high.

Let me know if you have any questions about this!