what is the volume of the square pyramid?\nv = □ mm³\n(round to the nearest tenth as needed.)
what is the volume of the square pyramid?\nv = □ mm³\n(round to the nearest tenth as needed.)
Answer
Explanation:
Step1: Recall volume formula
The volume formula for a square - pyramid is $V=\frac{1}{3}Bh$, where $B$ is the area of the base and $h$ is the height. The base is a square with side length $s = 21$ mm, so $B=s^{2}=21^{2}=441$ mm², and the height $h = 23$ mm.
Step2: Calculate the volume
Substitute $B = 441$ mm² and $h = 23$ mm into the formula $V=\frac{1}{3}Bh$. We get $V=\frac{1}{3}\times441\times23$. First, $\frac{1}{3}\times441 = 147$, then $147\times23=3381$ mm³.
Answer:
$3381.0$ mm³