Question

The base of a rectangular pyramid is 13 inches long and 12 inches wide.

The height of the pyramid is 8 inches. What is the volume of the
pyramid?

Answer 1

V=L•W•H

3=13·12·8

3=416

=416³

Explanation:

Finding the Volume of a Rectangular Pyramid

• Your overall formula for finding the volume of these multi-faceted shapes is V = (l x w x h) / 3. Basically, your first step is finding the area of the base by multiplying length by width. Once you determine the area of the base, multiply that by the height.

The general volume of a pyramid formula is given as: Volume of a pyramid = 1/3 x base area x height.

• If the cube has a side length s, then each pyramid has an s by s base and height s/2, and its volume is 1/6 the volume of the cube, which is 1/3 base times height. ... They are congruent, so have volume 1/3*base*height as the base is a square the side of the cube and the height is the side of the cube as well.
• Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.

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Answer 2

Area = 1/2 (Base) (Height)

Area = 1/2 (12 in) (8 kn)

Area = 1/2 (96 in)

Area = 48 in^2

Volume = (Area) (Length)

Volume = (48 in^3) (13 in)

Volume = 624 in^3