Option B
The volume of sand he will need to fill half of the sandbox is 55.35 cubic feet
Solution:
The volume of rectangular prism is given as:
[tex]Volume = base\ area \times height[/tex]
From given,
Area of base = 49.2 square feet
Height = 2.25 feet
Substituting the values we get,
[tex]Volume = 49.2 \times 2.25\\\\volume = 110.7[/tex]
Thus volume of sand box is 110.7 cubic feet
Mr. Berger plans to fill the sandbox half full of sand
So find half the volume
volume of sand he will need to fill half of the sandbox is given as:
[tex]\rightarrow \frac{110.7}{2} = 55.35[/tex]
Thus the volume of sand he will need to fill half of the sandbox is 55.35 cubic feet