a solid right pyramid has a square base. the length of the base edge is 4 cm and the height of the pyramid…

a solid right pyramid has a square base. the length of the base edge is 4 cm and the height of the pyramid is 3 cm. what is the volume of the pyramid? 12 cm³ 16 cm³ 32 cm³ 48 cm³

a solid right pyramid has a square base. the length of the base edge is 4 cm and the height of the pyramid is 3 cm. what is the volume of the pyramid? 12 cm³ 16 cm³ 32 cm³ 48 cm³

Answer

Explanation:

Step1: Find base - area

The base is a square with side length (a = 4) cm. The area of a square (A_{base}=a^{2}), so (A_{base}=4^{2}=16) (cm^{2}).

Step2: Use volume formula

The volume formula for a pyramid is (V=\frac{1}{3}A_{base}h), where (h = 3) cm. Substitute (A_{base}=16) (cm^{2}) and (h = 3) cm into the formula: (V=\frac{1}{3}\times16\times3).

Step3: Calculate volume

(V = 16) (cm^{3}).

Answer:

16 (cm^{3})