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Mathematics 9 Online
OpenStudy (briana.img):

Help me find the height of this triangular prism?

OpenStudy (briana.img):

OpenStudy (welshfella):

surface area = area of 3 rectangles + area of the 2 triangles

OpenStudy (briana.img):

@welshfella sooo 48.735 = 3(15.12) + 2(???)

OpenStudy (welshfella):

yes

OpenStudy (briana.img):

@welshfella where do we go from therE?

OpenStudy (welshfella):

Find the area of a triangle then this = 0.5 * 2.7 * height of triangle solve for height

OpenStudy (briana.img):

@welshfella so confused on that part where did 0.5 come from?

OpenStudy (welshfella):

area of triangle = half * base*height

OpenStudy (welshfella):

- I don't like fractions - I always use decimals if possible

OpenStudy (briana.img):

@welshfella eeeerm i'm completely lost

OpenStudy (welshfella):

well work out the area of 2 triangles first 2* A = 48.735 - 3(15.12) = ?

OpenStudy (briana.img):

@welshfella why the 2*A= ????

OpenStudy (welshfella):

A = area of one triangle

OpenStudy (welshfella):

so 2A = 48.735-45.36 = 3.375 so the area of 1 triangle = 3.375 / 2 = 1.6875

OpenStudy (welshfella):

Now using the formula for the area of a triangle 1.6875 = 0.5 * 2.7 * h where h = height of the triangle ( = height of the prism) solve for h

OpenStudy (briana.img):

@welshfella 1.25???

OpenStudy (welshfella):

correct

OpenStudy (welshfella):

h = 1.6875 / (0.5*2.7) = 1.25

OpenStudy (welshfella):

gotta go - its very late here in the UK bye!

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