DON'T PUT FILES I CAN'T LOOK AT THEM AND THEY GIVE A VIRUS TO MY COMPUTER AND I SPENT 3 HOURS TRYING TO GET IT OUT OF MY COMPUTER Find surface area if each figure with the given dimensions use 3.14 for Pi
10. cylinder: d = 20mm, h = 37mm
12. rectangular prism: 4 1/2 ft by 6 ft by 11 ft

1240.4 mm²

Step-by-step explanation:

The surface area of a pyramid = Area of the all sides + Area of base

Each side is a triangle.

With a regular pentagonal pyramid, the area of each triangle is

For the 5 triangles,

Substituting given values,

Area of base = 440.4 mm²

Surface area of a pyramid = 800 + 440.4 mm² = 1240.4 mm²

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step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4