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

11.8 m and the height of the pyramid is 11.7 m. Round your answer to the nearest

tenth of a cubic meter.

The volume of the pyramid is 101.8m³

Step-by-step explanation:

First of all we need to calculate the sides of the square

p = perimeter = 11.8m

s = side

p = s * 4

we replace with the known values

11.8m = s * 4

11.8m / 4 = s

2.95m = s

To calculate the volume of a pyramid we have to use the following formula:

v = volume

w = width = 2.95m

l = length = 2.95m

h = height = 11.7m

v = (w * l * h) / 3

we replace the values that we know

v = (2.95m * 2.95m * 11.7m) / 3

v = 101.819m³

Round to the nearest tenth

v = 101.819m³ = 101.8m³

The volume of the pyramid is 101.8m³