To find the volume of a rectangular prism, we multiply the base area (length times width) by the height.
Given:
Length = 1 3/4 in. = 7/4 in.
Width = 4 1/8 in. = 33/8 in.
Height = 3 2/3 in. = 11/3 in.
Base area = (7/4 in.) × (33/8 in.) = 231/32 square inches
Volume = Base area × Height
Volume = (231/32 in.2) × (11/3 in.)
Volume = (231/32) × (11/3)
Volume = 2541/96 in.3
Volume = 26 57/96 in.3
Volume = 26 19/32 in.3
Therefore, the volume of the rectangular prism is 26 19/32 in.3.
Apply the formula V = B × h. What is the volume of a rectangular prism with a length of 1 3/4 in., a width of 4 1/8 in., and a height of 3 2/3 in.? Your answer should be a mixed number in simplest form. __ in.3
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