what is the volume of the square pyramid? v = □ mm³ (round to the nearest tenth as needed.)
what is the volume of the square pyramid? v = □ mm³ (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 $s = 25$ mm, so the area of the base $B=s^{2}=25^{2}=625$ mm², and the height $h = 27$ mm.
Step2: Calculate the volume
Substitute $B = 625$ mm² and $h=27$ mm into the volume formula: $V=\frac{1}{3}\times625\times27$. First, $\frac{1}{3}\times27 = 9$. Then, $V=625\times9=5625.0$ mm³.
Answer:
$5625.0$ mm³