High School

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Jacob and his family make their first stop on their vacation.. The beach! Jacob and his little brother enter a sand castle competition. The rules of the competition are 1. You can use any object that you bring yourself Below are all of the items that jacob and his brother will use to build their castle. For each item, calculate the volume of sand that each will hold

Jacob and his family make their first stop on their vacation The beach Jacob and his little brother enter a sand castle competition The rules

Answer :

The beach toy item is a square based pyramid with the following parameters

[tex]\begin{gathered} side\text{ length of base= 4 inches} \\ height\text{ of pyramid = 4 inches } \end{gathered}[/tex]

Explanation

The volume of the pyramid will indicate the volume of sand that the beach item can contain.

[tex]volume=\frac{1}{3}\times base\text{ area}\times height[/tex]

Therefore, we will have;

[tex]\begin{gathered} volume=\frac{1}{3}\times4\times4\times4 \\ =\frac{1}{3}\times64=21.3 \end{gathered}[/tex]

Answer: 21.3 cubic inches

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