document.write( "Question 948504: The cuboid has a width of 5cm and a length of 10cm and the surface area of 280cm² what is the height of the cuboid?
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document.write( " I have found the answer on this website but i don't know how she got 30?
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document.write( "(http://www.algebra.com/algebra/homework/Surface-area/Surface-area.faq.question.857827.html)
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document.write( "It was answered by KMST(3526) \n" );
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Algebra.Com's Answer #578962 by macston(5194)![]() ![]() You can put this solution on YOUR website! The surface area of each of two faces of the cuboid are A=L*W \n" ); document.write( "A=L*W=5cm*10cm=50 sq cm \n" ); document.write( "Since there are two this size (top and bottom), total area=2A=100 sq cm \n" ); document.write( "The area of the sides is 280 sq cm- 100 sq cm=180 sq cm \n" ); document.write( "The two ends of the cuboid that rise from the width each have area=(5cm)(h) and there are two of them: \n" ); document.write( "(2)( 5 cm)(h)=(10cm)(h) \n" ); document.write( "The two sides of the cuboid that rise from the length each have area=(10cm)(h) and there are two of them: \n" ); document.write( "(2)(10 cm)(h)=(20cm)(h) \n" ); document.write( "The sum of the area of the sides and ends: \n" ); document.write( "(10 cm)(h)+(20 cm)(h)=(30 cm)h (30 cm is also the perimeter of the base) \n" ); document.write( "This equals the remaining 180 sq cm of surface area: \n" ); document.write( "(30 cm)h=180 sq cm Divide each side by 30 cm. \n" ); document.write( "h=6 cm ANSWER: The height of the cuboid is 6 cm. \n" ); document.write( " \n" ); document.write( " |