GEOMETRY QUIZ

Question

   This is a screenshot of the quiz there are 2 more problems after I get an answer for these thanks!

Comments

The essential figures are too blurred to read. You need a higher resolution or screen shot a smaller area. It would be best if you submitted questions separately, or no more than a couple at a time.

Answer 1

Knowing the answer options, I've attempted to work out the dimensions, because the resolution of the screenshot is rather low to read with certainty.

(1) Height=radius=8m. Surface area including circular base and top=2πrh+2πr²=128π+128π=256π=804.25m² (answer B).

(2) The dimensions are 10km, 7km, 3km, surface area=2(10×7+10×3+7×3)=2(121)=242km² (answer B).

(3) Pentagon side=height=8mi. Area of side=64mi², 5 sides' area=5×64=320mi².

Pentagon base and top can each be divided into 5 isosceles triangles of height=5.5mi and base=8mi.

Area of one triangle=4×5.5=22mi², area of 10 triangles=220mi², so total area=320+220=540mi² (answer B).

(4) Rectangular sides 9 by 10=90mi² each, so total side area=3×90=270mi².

Area of triangular base=4½×10=45mi² each. Triangular area total=90mi², so total area=270+90=360mi² (answer C).

(5) Volume=πr²h=π×49×6=923.63mi² (answer B).

(6) Triangular prism. Volume=base area times height.

The dimensions of the triangular base used are base=12ft, two sides are 4ft and 9ft. These give a height of 2.27ft and a base area of 6×2.27=13.62. The height of the prism=4ft so volume=4×13.62=54.48ft³ (answer D).