SOLUTION: please help A right prism has a base in the shape of a right isosceles triangle with hypotenuse measuring 8.5 cm. The height of the prism is 12 cm. Round answers to the nearest t

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Question 1154328: please help
A right prism has a base in the shape of a right isosceles triangle with hypotenuse measuring 8.5 cm. The height of the prism is 12 cm. Round answers to the nearest ten.
(a) What is the volume?

cm3
(b) What is the total surface area?

cm2
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
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(a)  Since the hypotenuse is 8.5 cm and sinse the triangle is right and isoscels,

     the legs are congruent and have the length of  8.5%2Fsqrt%282%29 cm each.


     Therefore, the area of the right triangle at the base is  %281%2F2%29%2A%288.5%2Fsqrt%282%29%29%2A%288.5%2Fsqrt%282%29%29 = %281%2F2%29%2A%28%288.5%2A8.5%29%2F2%29 = 8.5%5E2%2F4.


     Hence, the volume of the prism is  %288.5%5E2%2F4%29%2A12 = 3%2A8.5%5E2 = 216.75 cubic centimeters.    ANSWER



(b)  you just know each and every dimension of the prism.


     Finding its surface area is just simple arithmetic.