a gift box is being constructed in the shape of a right rectangular prism. the base is 15 inches squared and the height is 8 inches. what is the volume
The volume of a right rectangular prism is calculated by multiplying the length, width, and height.
In this case, the base of the gift box has an area of 15 inches squared, which means its length multiplied by its width equals 15. Since the shape is a right rectangular prism, the length and width of the base coincide with the length and width of the box.
Thus, the length and width of the base are both equal to the square root of 15: √15 ≈ 3.87 inches.
The height of the box is given as 8 inches.
Therefore, the volume of the gift box is calculated as:
Volume = Length * Width * Height
Volume = 3.87 inches * 3.87 inches * 8 inches
Volume ≈ 120.50 cubic inches
Therefore, the volume of the gift box is approximately 120.50 cubic inches.