Ask your own question, for FREE!
Mathematics 19 Online
OpenStudy (sweetheart):

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

OpenStudy (sweetheart):

jimthompson5910 (jim_thompson5910):

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.

OpenStudy (sweetheart):

@mathmate @MrNood can yall please help me

OpenStudy (mrnood):

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

OpenStudy (sweetheart):

So when its asking for What figures make up the composite space figure? it mean triangle, hexagon and rectangle? is that correct or no.

OpenStudy (mrnood):

yes

OpenStudy (sweetheart):

would ypu need the surface area or the area formula

OpenStudy (mrnood):

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

OpenStudy (sweetheart):

triangle A =1/2bh S.A = L.A +2b whick formula would i use

OpenStudy (mrnood):

you have confused 2 separate options. This is not a prism find the area of a triangle and use that formula

OpenStudy (sweetheart):

a=1/2(4)(5) a=1/2(20) a=10

OpenStudy (sweetheart):

10 x 6 = 60 area of all 6 triangles

OpenStudy (sweetheart):

a=l*w a= 6*4 a=24 24*6= 144 area of all the rectangles

OpenStudy (sweetheart):

how would i find the area of the hexagon

OpenStudy (mrnood):

type the below into google: "how would i find the area of the hexagon"

OpenStudy (mrnood):

or split it into 6 equilateral triangles (but it will be the same equation in the end...)

OpenStudy (mrnood):

https://www.google.co.uk/#q=area+of+hexagon

OpenStudy (sweetheart):

a= 3sqrt3/2(4)^2 a= 3sqrt3/2(16) a=41.57

OpenStudy (sweetheart):

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.

OpenStudy (sweetheart):

what do i do after i find the area @phi

OpenStudy (phi):

You add up all the areas to get the total surface area of the shape.

OpenStudy (sweetheart):

144+60 +41.57 S.A =245.57 cm.

OpenStudy (phi):

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)

OpenStudy (sweetheart):

246 cm^2 correct

OpenStudy (phi):

yes, looks good.

OpenStudy (sweetheart):

thanks

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!