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 find the volume of a prism, we need to multiply the area of the base by the height.
The area of the rectangle base is found by multiplying its length by its width.
Length = 4 7/8 inches = 39/8 inches
Width = 5 inches
Area of base = (39/8) inches * 5 inches = (39 * 5)/8 inches = 195/8 inches
Now, we multiply the area of the base by the height of the prism.
Height = 12 1/2 inches = 25/2 inches
Volume of prism = (195/8 inches) * (25/2 inches)
To multiply these fractions, we multiply the numerators together and the denominators together.
Volume of prism = (195 * 25)/(8 * 2) inches
Simplify the numerator and denominator:
Volume of prism = 4875/16 inches or 304 7/16 inches
Therefore, the volume of the prism is 4875/16 inches cubed or 304 7/16 inches cubed.