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sergey [27]
2 years ago
15

Please help me out please

Mathematics
1 answer:
Elanso [62]2 years ago
7 0

Answer:

400 units³

Step-by-step explanation:

The volume (V) of the square pyramid is

V = \frac{1}{3} area of base × height (h)

where h is the perpendicular height.

Consider the right triangle formed by a segment from the vertex to the midpoint of the base and the slant height ( the hypotenuse )

Using Pythagoras' identity on the right triangle

h² + 5² = 13²

h² + 25 = 169 ( subtract 25 from both sides )

h² = 144 ( take the square root of both sides )

h = \sqrt{144} = 12

Area of square base = 10² = 100, hence

V = \frac{1}{3} × 100 × 12 = 4 × 100 = 400

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