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Find the number of cubic inches of space the completed puzzle will take up on a shelf. (volume).

Find the number of cubic inches of space the completed puzzle will take up on a shelf-example-1

1 Answer

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Answer:

114.33 cubic inches.

Step-by-step explanation:

The volume of a pyramid can be calculated using the formula below:


V=(1)/(3)*\text{Base Area}* Height

Since the completed puzzle is a square pyramid:


V=(1)/(3)* l^2* h

• The side length of the square, l = 7 inches

,

• The height of the completed puzzle,h = 7 inches

Therefore:


\begin{gathered} V=(1)/(3)*7^2*7 \\ =(343)/(3) \\ =114.33\text{ cubic inches} \end{gathered}

The number of cubic inches of space the completed puzzle will take up on a shelf is 114.33 cubic inches.

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