## anonymous 5 years ago Find the volume of the oblique prism: a)156cm^3 b)144cm^3 c)180cm^3 d)62.4cm^3 e)124.8cm^3

1. anonymous

That thing gives me a headache! Looking at the left hand side where the side is the hypotenuse of a right triangle the length would be:$5^{2}+8^{2}=x ^{2}$ or that dimension is the sq rt 89 around 9.43 cm BUT the diagram show the side on the right at 10 cm.

Any you find the area of the triangle face then multiply that by the heigth of the prism that would give you volume, but there is something I am not seeing. The lower triangle is an equilateral as all three sides have the tick mark. Area of triangle A=1/2 B H. The base is given as 6cm, the height can be calculated as follows:$h ^{2}=3^{2}+10^{2}=109$$h=\sqrt{109}=10.44$ So the area =.5 X 6 X 10.44 =13.22 CM SQ

Multiply 13.22 x 9.43 = 124.71 cu cm Choice e looks good, but only if you understood

Did you??

6. anonymous

yeah

I think I do also LOL

8. anonymous

lol.. thank you