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Joan is making a candle in the shape of a square pyramid. if the base edge is 5 in and the height is 6in, how much wax will they need?

Sagot :

Answer:

The amount of wax they will need equal the volume of the pyramid which is;

[tex]32\text{ }in^3[/tex]

Explanation:

Given that the base edge of the square pyramid is 4 in and the height is 6 in;

[tex]\begin{gathered} \text{base edge a = 4 in} \\ \text{height h = 6 in} \end{gathered}[/tex]

Recall that the formula for the volume of a pyramid is;

[tex]V=\frac{1}{3}a^2h[/tex]

substituting the given values;

[tex]\begin{gathered} V=\frac{1}{3}\times4^2\times6 \\ V=\frac{1}{3}\times16^{}\times6 \\ V=32\text{ }in^3 \end{gathered}[/tex]

Therefore, the amount of wax they will need equal the volume of the pyramid which is;

[tex]32\text{ }in^3[/tex]