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tamaranim1 [39]
4 years ago
15

Please help me out please

Mathematics
2 answers:
Doss [256]4 years ago
5 0
Aye do you know the answer to this or have you gotten to this part yet

SOVA2 [1]4 years ago
4 0

Answer:

16.6 in

Step-by-step explanation:

The volume (V) of a pyramid is

V = \frac{1}{3} area of base × h

where h is the perpendicular height and area of base = 14² = 196

here V = 980, so

\frac{1}{3} × 196h = 980 ( multiply both sides by 3 )

196h = 2940 ( divide both sides by 196 )

h = 15

Consider the right triangle formed by the height h from the vertex to the midpoint of the base and the slant height (s) ← the hypotenuse

Using Pythagoras' identity in the right triangle

s² = 15² + 7² = 225 + 49 = 274 ( take the square root of both sides )

s = \sqrt{274} ≈ 16.6

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