A gift is shaped like a cube has an edge length of 5 3/4 inches . What is the volume of the cube
To find the volume of a cube, you need to know the length of one side (also called the edge length). In this case, the edge length is given as 5 3/4 inches. To calculate the volume of the cube, you can use the formula:
Volume = (Edge Length)^3
First, we need to convert the mixed number 5 3/4 to an improper fraction. To do this, multiply the whole number (5) by the denominator (4), then add the numerator (3). The result is 23/4.
Now, substitute the value of the edge length into the formula:
Volume = (23/4)^3
To cube a fraction, you raise both the numerator and the denominator to the power of 3:
Volume = (23^3) / (4^3)
Calculating the cube of 23 gives us 12,167, while calculating the cube of 4 gives us 64:
Volume = 12,167 / 64
Dividing 12,167 by 64 gives us the final answer:
Volume ≈ 190.109375 cubic inches
So the volume of the cube-shaped gift is approximately 190.109375 cubic inches.
V = LWH
V = 5.75 * 5.75 * 5.75
V = ______ cubic inches