Question

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

Answer 1

Answer:

13 cm

Step-by-step explanation:

slant height = $\sqrt{12^2 +\frac{10^2}{4} }$

=$\sqrt{144 + \frac{100}{4} }$

=$\sqrt{144 + 25}$

=$\sqrt{169}$

=13 cm

a=10 cm

l =

surface area =$a^{2} + 2a \sqrt{\frac{a^{2} }{4} +h^{2} }$

=$10^{2} +2*10 \sqrt{\frac{10^{2} }{4} +12^{2} } \\100 + 20 \sqrt{\frac{100}{4} + 144} \\100 + 20\sqrt{25 + 144} \\100 + 20 \sqrt{169} \\100 + 20*13\\100 + 260\\360 cm^2$