7. Find the volume of the pyramid. Round to the nearest tenth if necessary.

Step-by-step explanation:

Volume v = 1/3(l×b)h

l = 29m, b = 24m, h = 20m

V = ⅓ ×(29×24)20

V = 29 × 8 × 20

V = 4640m³

V = 3712 m³

Step-by-step explanation:

The volume (V) of a pyramid is calculated as

V = Bh ( B is the area of the base and h the perpendicular height )

To find h use Pythagoras' identity

Where the slant height is the hypotenuse and the legs are h and half the width of the rectangular base, then

h² + 12² = 20², that is

h² + 144 = 400 ( subtract 144 from both sides )

h² = 256 ( take the square root of both sides )

h = = 16

Thus

B = 29 × 24 = 696 m² and h = 16, hence

V = × 696 × 16 = 232 × 16 = 3712 m³

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step-by-step explanation:

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