The base of a prism is a rectangle. The length of the rectangle is 4 7/8 inches, and the width of the rectangle is 5 inches. The height of the prism is 12 1/2 inches. Which calculation gives the volume of the prism?
To calculate the volume of a prism, you need to multiply the area of the base by the height.
First, calculate the area of the base, which is the length multiplied by the width.
4 7/8 inches = 4 + 7/8 = 4 + 0.875 = 4.875 inches
Area of the base = length * width = 4.875 inches * 5 inches = 24.375 square inches
Now multiply the area of the base by the height to find the volume of the prism.
Volume = area of the base * height = 24.375 square inches * 12 1/2 inches
To multiply a whole number by a fraction, change the whole number to a fraction by putting it over 1.
12 1/2 inches = 12 + 1/2 = 12 + 0.5 = 12.5 inches
Volume = 24.375 square inches * 12.5 inches = 304.6875 cubic inches
Therefore, the calculation that gives the volume of the prism is 304.6875 cubic inches.