Using the formula V=B×h , what is the volume of a rectangular prism with a width of 3 1/4 in., a length of 5 1/8 in., and a height of 7 3/8 in.? Your answer should be a mixed number in simplest form
To find the volume of the rectangular prism, we can use the formula V = B × h, where B is the area of the base and h is the height.
First, we need to find the area of the base. The area of a rectangle is given by the formula A = length × width. The length is 5 1/8 in and the width is 3 1/4 in.
5 1/8 × 3 1/4 = 41/8 × 13/4
= 41/8 × 13/4
= 533/32
= 16 21/32
Now that we have the area of the base as 16 21/32, we can find the volume of the rectangular prism by multiplying the base area with the height:
V = 16 21/32 in² × 7 3/8 in
V = 16 21/32 in² × 59/8 in
V = (16 21/32) × (59/8)
= 1009/32
= 31 17/32
Therefore, the volume of the rectangular prism is 31 17/32 cubic inches.
wrong
Apologies for the mistake. Let's redo the calculation:
Given:
width = 3 1/4 in = 13/4 in
length = 5 1/8 in = 41/8 in
height = 7 3/8 in = 59/8 in
Now, let's find the area of the base:
Area = length × width
Area = (41/8) in × (13/4) in
Area = 533/32 in²
Area = 16 21/32 in²
Now, let's find the volume of the rectangular prism:
Volume = Area × height
Volume = (16 21/32 in²) × (59/8 in)
Volume = (533/32 in²) × (59/8 in)
Volume = 31387/256 in³
Volume = 122 179/256 in³
Therefore, the volume of the rectangular prism is 122 179/256 cubic inches.