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Mathematics 16 Online
OpenStudy (thecatman):

please help will give medals

OpenStudy (thecatman):

What is the surface area of the composite figure? A rectangular prism with a square base pyramid attached to the top. The square base of the rectangular prism has sides measuring 6 millimeters, the prism's height is 7 millimeters. The pyramid has a square base with side lengths of 6 millimeters, and a slant height of 4 millimeters. two hundred fifty-two square millimeters two hundred sixty-four square millimeters three hundred square millimeters three hundred twenty-four square millimeters

OpenStudy (anonymous):

I'd be happy to help. Medal or no medal :-)

OpenStudy (thecatman):

OpenStudy (anonymous):

Surface area=area of base + area of sides Do you understand the idea of surface area? example: for a cube you would have to find the area of one side and then multiply this by 6 because all sides have the same area (base*height)

OpenStudy (thecatman):

ok

OpenStudy (anonymous):

So for the figure sits on a base (bottom floor) what is the area of this?

OpenStudy (thecatman):

base is 36

OpenStudy (anonymous):

Then we have four rectangular faces,each having area 7mm*6mm=42 mm squared

OpenStudy (anonymous):

correct base is 36 mm squared

OpenStudy (thecatman):

12 * 4 = 48 which equals all the triangle

OpenStudy (thecatman):

126 is the answer

OpenStudy (anonymous):

Yes you are correct for all the triangular faces

OpenStudy (anonymous):

Not quite each rectangular face has area 42mm squared so we multiply times 4 42*4= 168 so our final answer add them all up 168+36+48= 252 square millimeters

OpenStudy (thecatman):

thank you for the help

OpenStudy (anonymous):

I think you got it maybe you misunderstood and quickly thought when I wrote 42mm for the rectangular faces that I had added it 4 times or multiplied it by 4 already...great job!!!

OpenStudy (anonymous):

you are welcome!

OpenStudy (anonymous):

126 isnt an option

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