The net of a composite space figure is shown below. a. What figures make up the composite space figure? b. What is the surface area of the composite space figure? Round your answer to the nearest square centimeter
a) we have triangles, rectangles, and a hexagon. They would fold up and glue together to form a pencil shape. It's not 100% a pencil, but a bit close http://www.oocities.org/wide_aspect/Pencil_LtC1.jpg b) find the area of each triangle, each rectangle, and the hexagon. Then add up the individual areas.
@mathmate @MrNood can yall please help me
You are not asked to name it or make it - (it doesn't have a technical name - piencil is a good description) Have a look at the 'unfolded' net You WILL recognise 3 different shapes that you CAN name there are 6 type 2 6 type 1 1 type 3 find the name and the formula for area of each of thaose 3 shapes, then work out the are of each face type from those formulas
So when its asking for What figures make up the composite space figure? it mean triangle, hexagon and rectangle? is that correct or no.
yes
would ypu need the surface area or the area formula
The total area of the 'pencil' is made up of the area of the 13 other shapes. You need to work out the area of each of the 3 different shapes and add up the sum for 13 total faces. I don't know what you mean in your question - surface area , and area are the same afaik
triangle A =1/2bh S.A = L.A +2b whick formula would i use
you have confused 2 separate options. This is not a prism find the area of a triangle and use that formula
a=1/2(4)(5) a=1/2(20) a=10
10 x 6 = 60 area of all 6 triangles
a=l*w a= 6*4 a=24 24*6= 144 area of all the rectangles
how would i find the area of the hexagon
type the below into google: "how would i find the area of the hexagon"
or split it into 6 equilateral triangles (but it will be the same equation in the end...)
a= 3sqrt3/2(4)^2 a= 3sqrt3/2(16) a=41.57
1. A) The figures in the composition space figure are rectangles, triangles and a hexagon. B) 1 hexagon = a= 3sqrt3/2(4)^2 a= 3sqrt3/2(16) a=41.57 cm. 6 triangles = a=1/2(4)(5) a=1/2(20) a=10 cm. = 10 x 6 = 60 cm. 60 cm. is the area of all 6 triangles. 6 rectangles = a=l*w a= 6*4 a=24 cm. a = 24*6 = 144 cm. 144 cm. is the area of all the rectangles.
what do i do after i find the area @phi
You add up all the areas to get the total surface area of the shape.
144+60 +41.57 S.A =245.57 cm.
yes. and they want you to round the answer to the nearest whole number. can you do that ? also, the units are cm^2 or "square cm" (not just cm)
246 cm^2 correct
yes, looks good.
thanks
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