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If x = 8 units and y = 24 units, then what is the volume of the square pyramid shown above?

If X 8 Units And Y 24 Units Then What Is The Volume Of The Square Pyramid Shown Above class=

Sagot :

In this problem, we want to find the volume of a pyramid. In general, the formula for the volume of a pyramid is

[tex]V=\frac{1}{3}Bh[/tex]

where B represents the base shape's area, and h represents the height.

From the image, we can see the base shape is a square, and we can use the formula:

[tex]V=\frac{1}{3}x^2y[/tex]

Note: the area of a square is the side-length squared, and since we know the side length is labeled x, we can update the formula as we did above.

We are given x = 8 and y = 24, so we can substitute and simplify to find the volume:

[tex]\begin{gathered} V=\frac{1}{3}(8)^2(24) \\ \\ V=\frac{1}{3}(64)(24) \\ \\ V=512 \end{gathered}[/tex]

The final volume is 512 cubic units.

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