Apply the formula V = B × h. What is the volume of a rectangular prism with a

length of 1¾ in., a width of 4½ in., and a height of 3½ in.? Your answer should be a
mixed number in simplest form. (1 point)

1 answer

To find the volume of a rectangular prism, we will use the formula V = B × h, where B is the base area and h is the height.

First, we need to find the base area (B) of the rectangular prism:
B = length × width
B = 1¾ in. × 4½ in.
Converting 1¾ to an improper fraction:
1¾ = 7/4
B = 7/4 in. × 9/2 in.
B = 63/8 in²

Now, we can find the volume using the formula V = B × h:
V = 63/8 in² × 3½ in.
V = 63/8 in² × 7/2 in.
V = 441/16 in³

Therefore, the volume of the rectangular prism is 441/16 cubic inches, which simplifies to 27 9/16 cubic inches.