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.(1 point)
in.3
To find the volume of a rectangular prism, we use the formula V = B x h, where B is the area of the base and h is the height.
First, let's find the area of the base.
Length = 5 1/8 in.
Width = 3 1/4 in.
Convert the mixed numbers to improper fractions:
Length = 41/8 in.
Width = 13/4 in.
Area of the base = Length x Width
Area of the base = (41/8) x (13/4)
Area of the base = 533/32 square inches
Now, we can find the volume by multiplying the area of the base by the height.
Height = 7 3/8 in.
Height = 59/8 in.
Volume = 533/32 x 59/8
Volume = (533 x 59) / (32 x 8)
Volume = 31447 / 256 cubic inches
Therefore, the volume of the rectangular prism is 122.9765625 in^3.
wrong try again
I apologize for the error. Let's try solving it again:
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.
First, calculate the area of the base:
Area of the base = Length x Width
Area of the base = (41/8) x (13/4)
Area of the base = 533/32 square inches
Now, calculate the volume using the formula V = B x h:
Volume = (533/32) x (59/8)
Volume = (533 x 59) / (32 x 8)
Volume = 31447 / 256 cubic inches
To simplify the mixed fraction:
31447 / 256 = 123 + 119 / 256
Therefore, the volume of the rectangular prism is 123 119/256 in^3 in its simplest mixed number form.
DO YOU WANT ME TO FAIL!!!!!!!!!!!!!!!!!
I apologize for the mistakes in my previous responses.
Let's try solving it again:
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.
Calculating the area of the base:
Area of the base = Length x Width
Area of the base = (41/8) x (13/4)
Area of the base = 533/32 square inches
Now, calculate the volume using the formula V = B x h:
Volume = (533/32) x (59/8)
Volume = (533 x 59) / (32 x 8)
Volume = 31447 / 256 cubic inches
To simplify the mixed fraction:
31447 / 256 = 123+ 119/256
Therefore, the volume of the rectangular prism is 123 119/256 in^3 in its simplest mixed number form.
OMG NO TRY AGAIN I DONT HAVE ALL DAY
I apologize for the mistakes in my previous responses. Let's solve the problem correctly this time:
Given:
Width = 13/4 in.
Length = 41/8 in.
Height = 59/8 in.
Calculate the area of the base:
Area of the base = Length x Width
Area of the base = (41/8) x (13/4)
Area of the base = (41 x 13) / (8 x 4)
Area of the base = 533 / 32
Now, calculate the volume using the formula V = B x h:
Volume = Area of the base x Height
Volume = (533/32) x (59/8)
Volume = (533 x 59) / (32 x 8)
Volume = 31447 / 256
Simplify the mixed fraction:
31447 / 256 = 123 + 119 / 256
Therefore, the volume of the rectangular prism is 123 119/256 in^3 in simplest form.