Answer: 175 cm³
Step-by-step explanation:
We will find the volume of this pyramid by using the formula for the volume of a right pyramid with a square base. In this formula, V is the volume, b is the base length, and h is the height.
[tex]\displaystyle V = \frac{1}{4} * b^2 * h[/tex]
We will substitute our given values and simplify to solve for V.
[tex]\displaystyle V = \frac{1}{4} * b^2 * h[/tex]
[tex]\displaystyle V = \frac{1}{4} * x^2 * y[/tex]
[tex]\displaystyle V = \frac{1}{4} * 10^2 * 7[/tex]
[tex]\displaystyle V = \frac{7}{4} * 100[/tex]
[tex]\displaystyle V = \frac{700}{4}[/tex]
[tex]\displaystyle V =175[/tex]
Lastly, we will add units. Volume is in cubic units.
175 cm³