Question

1. what is the volume of this rectangular pyramid?

(an image of a rectangular pyramid with base length 3 in, base width 3 in, and height 3 in)

1. blank cubic inches

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Explanation:

Step1: Recall the volume formula for a rectangular pyramid

The volume \( V \) of a rectangular 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 base

The base of the rectangular pyramid is a square with side length \( s = 3 \) inches. The area of a square is \( B=s\times s \). So, \( B = 3\times3=9 \) square inches.

Step3: Identify the height of the pyramid

From the diagram, the height \( h \) of the pyramid is 3 inches.

Step4: Substitute the values into the volume formula

Substitute \( B = 9 \) and \( h = 3 \) into the formula \( V=\frac{1}{3}Bh \). We get \( V=\frac{1}{3}\times9\times3 \).

First, calculate \( \frac{1}{3}\times9 = 3 \). Then, multiply by 3: \( 3\times3 = 9 \).

Answer:

9