A gift box is being constructed in the shape of a right rectangular prism the base is 15 inches squared and the height is 5 inches what will the volume of the gift be
To find the volume of a right rectangular prism, we need to multiply the length, width, and height. Since the base is in the shape of a square, it means the length and width are both equal to the square root of the base area.
Given that the base area is 15 inches squared, we can calculate the length and width as follows:
length = width = sqrt(base area) = sqrt(15) ≈ 3.87 inches (rounded to 2 decimal places)
Now, we can calculate the volume:
Volume = length × width × height
Volume = 3.87 inches × 3.87 inches × 5 inches
Volume ≈ 75.24 inches cubed (rounded to 2 decimal places)
Therefore, the volume of the gift box will be approximately 75.24 inches cubed.