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Please help me out please

Please help me out please-example-1

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Answer:

V = 400

Explanation:

The volume (V) of the pyramid is

V =
(1)/(3) area of base × perpendicular height (h)

Consider a right triangle from the vertex to the midpoint of the base across to the slant height, with hypotenuse of 13

Using Pythagoras' identity on the right triangle, then

h² + 5² = 13²

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

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

h =
√(144) = 12

Area of square base = 10² = 100, thus

V =
(1)/(3) × 100 × 12 = 4 × 100 = 400

User Roger Johansson
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