Question

Find the volume of a pyramid with a square base, where the side length of the base is

18.5 in and the height of the pyramid is 10.9 in. Round your answer to the nearest
tenth of a cubic inch.​

Answer 1

V = 1243.5 in³

Explanation:

(see attached pic for reference)

The volume of a square pyramid is given as

V = (1/3) b²h,

where,

V = volume of square pyramid (we are asked to find this)

b = base length (given as 18.5 in)

h = height (given as 10.9 in)

Substituting the given values above into the equation:

V = (1/3) b²h

V = (1/3) (18.5)²(10.9)

V = 1243.5083

V = 1243.5 in³ (rounded to nearest tenth)