Mathematics

Question

A solid right pyramid has a square base. The length of the base edge is 4 cm and the height of the pyramid is 3 cm. What is the volume of the pyramid? 12 cm3 16 cm3 32 cm3 48 cm3

2 Answer

  • Answer:

    The volume of the pyramid is [tex]16\ cm^{3}[/tex]

    Step-by-step explanation:

    we know that

    The volume of a right pyramid is equal to

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

    where

    B is the area of the base of pyramid

    h is the height of the pyramid

    Find the area of the square base B

    The area of the square is equal to

    [tex]B=b^{2}[/tex]

    we have

    [tex]b=4\ cm[/tex]

    substitute

    [tex]B=4^{2}=16\ cm^{2}[/tex]

    Find the volume of the pyramid

    we have

    [tex]B=16\ cm^{2}[/tex]

    [tex]h=3\ cm[/tex]

    substitute

    [tex]V=\frac{1}{3}(16)(3)=16\ cm^{3}[/tex]

  • If the length of the base edge is 4 cm and the height of the pyramid is 3 cm. The volume of the pyramid is 16cm³.

    Volume of pyramid

    Using this formula

    Volume of pyramid=1/3 (b×h)

    Let plug in the formula

    Volume of pyramid=1/3(4²×3)

    Volume of pyramid=1/3(16×3)

    Volume of pyramid=1/3(48)

    Volume of pyramid=16cm³

    Therefore the volume of the pyramid is 16cm³.

    Learn more about volume of the pyramid here:https://brainly.com/question/2612895

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