Question

Find the SLANT HEIGHT of the pyramid, then calculate its SURFACE AREA.

Show your work.

i have only 10 min please help

Answer 1

13 cm

Explanation:

slant height =
`\sqrt{12^2 +(10^2)/(4) }`

=
`\sqrt{144 + (100)/(4) }`

=
`√(144 + 25)`

=
`√(169)`

=13 cm

a=10 cm

l =

surface area =
`a^(2) + 2a \sqrt{(a^(2) )/(4) +h^(2) }`

=
`10^(2) +2*10 \sqrt{(10^(2) )/(4) +12^(2) } \\100 + 20 \sqrt{(100)/(4) + 144} \\100 + 20√(25 + 144) \\100 + 20 √(169) \\100 + 20*13\\100 + 260\\360 cm^2`