Respuesta :

[tex]C)52.5m^3[/tex]

Explanation

the volume of a square pyramid is given by:

[tex]\text{Volume}_{Pyramid}=\frac{1}{3}(side^2)\cdot heigth[/tex]

Step 1

Let

[tex]\begin{gathered} \text{side = 5 meters} \\ heigth=6.3\text{ meters} \end{gathered}[/tex]

Now, replace.

[tex]\begin{gathered} \text{Volume}_{Pyramid}=\frac{1}{3}(side^2)\cdot heigth \\ \text{Volume}_{Pyramid}=\frac{1}{3}((5m)^2)\cdot6.3\text{ m} \\ \text{Volume}_{Pyramid}=\frac{1}{3}(25m^2)\cdot6.3\text{ m} \\ \text{Volume}_{Pyramid}=\frac{1}{3}\cdot157.5m^3 \\ \text{Volume}_{Pyramid}=52.5m^3 \end{gathered}[/tex]

so, the answer is

[tex]C)52.5m^3[/tex]

I hope this helps you

Ver imagen LucileI380510
ACCESS MORE
EDU ACCESS