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ratelena [41]
2 years ago
12

The surface area of the rectangular prism below is 286in2. Find the height.

Mathematics
1 answer:
Rudiy272 years ago
4 0

Answer: 7in

Step-by-step explanation:

Formula: A=2(wl+hl+hw)

Solve for h;

Let's begin by dividing by 2.

\frac{A}{2}=wl+hl+hw

Subtract wl because it's the only term that doesn't have h.

\frac{A}{2}-wl=hl+hw

Plug your values into the formula.

\frac{286in^2}{2}-(5in)(9in) =h(9in)+h(5in)\\143in^2-45in^2=9inh+5inh\\98in^2=14inh

Divide by 14 to isolate h.

\frac{98in^2}{14in}=h

7in=h

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