Question

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar.
a right pyramid has a height of 3 inches and a square base with side length of 5 inches. what is the volume of the pyramid?
the volume of this pyramid is cubic inches.

Explanation:

Step1: Recall the volume formula for a pyramid

The volume \( V \) of a pyramid is given by the formula \( V=\frac{1}{3}Bh \), where \( B \) is the area of the base and \( h \) is the height of the pyramid.

Step2: Calculate the area of the square base

The base is a square with side length \( s = 5 \) inches. The area \( B \) of a square is \( B=s^{2} \). So, \( B = 5^{2}=25 \) square inches.

Step3: Substitute the values into the volume formula

We know \( h = 3 \) inches and \( B = 25 \) square inches. Substituting into \( V=\frac{1}{3}Bh \), we get \( V=\frac{1}{3}\times25\times3 \).

Step4: Simplify the expression

\( \frac{1}{3}\times25\times3=25 \) (since the 3 in the numerator and denominator cancels out).

Answer:

25