Questions: You are building a sandbox in your backyard that will be 53 in . long, 53 in . wide, and 16 in . tall. How many cubic inches of sand can the sandbox hold?

Solution Steps

To find the volume of the sandbox, we need to calculate the volume of a rectangular prism. The formula for the volume of a rectangular prism is given by multiplying its length, width, and height. In this case, the dimensions of the sandbox are provided, so we will multiply these values to find the total volume in cubic inches.

To find the volume \( V \) of the sandbox, we use the formula for the volume of a rectangular prism:

\[ V = \text{length} \times \text{width} \times \text{height} \]

Substituting the given dimensions:

\[ V = 53 \, \text{in} \times 53 \, \text{in} \times 16 \, \text{in} \]

Calculating the volume:

\[ V = 53 \times 53 \times 16 = 44944 \, \text{in}^3 \]

Final Answer