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
Using the formula V = B x h, we first need to find the area of the base (B) which is the length multiplied by the width.
Length = 5 1/8 in. = 41/8 in.
Width = 3 1/4 in. = 13/4 in.
B = 41/8 in. x 13/4 in.
B = 41/8 in. x 52/8 in.
B = 2132/8 in.
B = 266/2 in.
B = 133/1 in.
Now, we can find the volume using the base and height:
V = 133/1 in. x 7 3/8 in.
V = 133/1 in. x 59/8 in.
V = 7827/8 in.3
V = 978 3/8 in.3
Therefore, the volume of the rectangular prism is 978 3/8 in.3.
WRONG!
I apologize for the mistake in my previous response. Let's correct it:
Length = 5 1/8 in. = 41/8 in.
Width = 3 1/4 in. = 13/4 in.
Height = 7 3/8 in. = 59/8 in.
Now, let's calculate the volume using the formula V = B x h, where B is the area of the base (length x width):
B = (41/8)*(13/4) = 41*13 / 8*4 = 533 / 32
V = 533/32 * 59/8 = 31347 / 256
Now, we simplify the fraction:
31347 / 256 = 122 251/256 in^3
Therefore, the volume of the 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. is 122 251/256 in^3.