Question

Mr. Berger is building a sandbox for his children. The sandbox is in the shape of a right rectangular prism. The area of the base of the sandbox is 49.2 square feet, and it will have a height of 2.25 feet. Mr. Berger plans to fill the sandbox half full of sand.
What is the volume of sand he will need to fill half of the sandbox?

A. 21.87 FEET CUBED

B. 55.35 FEET CUBED

C. 125 FEET CUBED

D. 110.7 FEET CUBED

Answer 1

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:

$Volume = base\ area \times height$

From given,

Area of base = 49.2 square feet

Height = 2.25 feet

Substituting the values we get,

$Volume = 49.2 \times 2.25\\\\volume = 110.7$

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:

$\rightarrow \frac{110.7}{2} = 55.35$

Thus the volume of sand he will need to fill half of the sandbox is 55.35 cubic feet