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find the volume of the figure. the volume of the figure is (square) (ro…

Question

find the volume of the figure.
the volume of the figure is (square) (round to the nearest whole number as needed.)

Explanation:

Step1: Identify the figure and formula

The figure is a square - based pyramid. The volume formula for a square - based pyramid is $V=\frac{1}{3}Bh$, where $B$ is the area of the base and $h$ is the height.

Step2: Calculate the area of the base

The base is a square with side length $s = 1.8$. The area of the base $B=s^{2}=1.8^{2}=3.24$.

Step3: Calculate the volume

The height $h = 2.9$. Substitute $B = 3.24$ and $h = 2.9$ into the volume formula: $V=\frac{1}{3}\times3.24\times2.9$. First, $\frac{1}{3}\times3.24 = 1.08$. Then, $1.08\times2.9=3.132$.

Step4: Round the answer

Rounding $3.132$ to the nearest whole number gives $3$.

Answer:

$3$