Answer:
2406.17 cm³
Explanation:
Data obtained from the question include the following:
Height (h) = 24.4 cm
Length of the base (L) = 17.2 cm
Volume (V) =..?
Next, we shall determine the area of the square base of the pyramid.
This can obtained as shown below:
Since the base is a square, we shall use the formula for calculating the area of a square to obtain the area of the square base of the pyramid.
Area of a square is given by :
Area (A) = Length (L) x Length (L)
A = L x L
A = L²
Length of the base (L) = 17.2 cm
Area (A) =...?
A = L²
A = 17.2²
A = 295.84 cm²
Finally, we shall determine the volume of the pyramid as follow:
Height (h) = 24.4 cm
Area (A) = 295.84 cm²
Volume (V) =.?
V = ⅓Ah
V = ⅓ × 295.84 × 24.4
V = 2406.17 cm³
Therefore, the volume of the pyramid is 2406.17 cm³.