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Find the surface area of each prism. Round to the nearest tenth if necessary while doing your calculations as well as in your final answer.

User Marne
by
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2 Answers

3 votes

Answer:

340 units² is right!

Explanation:

I got it correct on my exercise!!

User Stein Dekker
by
5.7k points
0 votes

Answer:

The answer is "340 units²"

Explanation:

In the given question, an attachment file is missing, which can be defined as follows:


\therefore \tan \theta= (height)/(base)\\\\\to \tan 60^(\circ)=(h)/(3)\\\\\to √(3)=(h)/(3)\\\\\to 3√(3)=h\\\\\to h = 3√(3) units\\\\

The area of trapezoid prism:


(a)= (b_1+b_2)h+ph

value:


b_1=6 \ units\\b_2=9 \units\\h=10 \ units\\\\\to P=6+9+3√(3)+\sqrt{3^2+(3√(3))^2}\\\\\to P=15+3√(3)+√(9+27)\\\\\to P=15+3√(3)+√(36)\\\\\to P=21+3√(3) \ unit\\\\\bold{ Area= (6+9) * 3√(3)+(21+3√(3))* 10}\\\\\to Area= (15) * 3√(3)+(21+3√(3))* 10\\\\\to Area= 45√(3)+210+30√(3)\\\\\to Area=339.9038\\\\\to Area=340 \ units^2

Find the surface area of each prism. Round to the nearest tenth if necessary while-example-1
User Mike Graham
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4.7k points