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Mathematics 16 Online
OpenStudy (anonymous):

if six cubes of 20cm edge are joined end-to-end then the surface area of theresulting solid is

OpenStudy (ranga):

Just count the number of squares on the surface and multiply it by 20^2.

OpenStudy (anonymous):

should we count the bottom square

OpenStudy (anonymous):

which squares to count

OpenStudy (ranga):

Top, bottom,front, back, the two ends. Count all exposed squares.

OpenStudy (anonymous):

6 * 400 =2400 for one cube

OpenStudy (anonymous):

they are joined end to end

OpenStudy (anonymous):

10400?

Parth (parthkohli):

But you might not want to calculate the surface area that way. First of all, do you agree that the resulting figure is a cuboid?

OpenStudy (anonymous):

yes

Parth (parthkohli):

It has the same width and the same height, but the length is six times.

OpenStudy (anonymous):

2(bl+bh+hl) i got it thanks

Parth (parthkohli):

Yes, you got it. That's correct.

OpenStudy (ranga):

6 cubes, with 4 exposed surfaces each = 24 exposed surfaces, plus 2 end surfaces for a total of 26 exposed squares which can be done mentally. 26 * 400 = 10,400 and is much simpler than using the formula 2(bl+bh+hl).

OpenStudy (anonymous):

yup!

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