Question

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

Answer 1

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.