Applying the formula V=B×h , what is the volume of a rectangular prism with a length of 11 1/5 in., a width of 9 1/2 in., and a height of 8 1/2 in.? Make it a mixed number
To find the volume of the rectangular prism, we need to multiply the length, width, and height together:
V = B * h
First, convert the mixed numbers to improper fractions:
Length = 11 1/5 = 11 + 1/5 = 55/5 + 1/5 = 56/5
Width = 9 1/2 = 9 + 1/2 = 18/2 + 1/2 = 19/2
Height = 8 1/2 = 8 + 1/2 = 16/2 + 1/2 = 17/2
Now, plug the values into the formula:
V = (56/5) * (19/2) * (17/2)
V = (56*19*17) / (5*2*2)
V = 18104 / 20
V = 905.2
Therefore, the volume of the rectangular prism is 905 1/5 cubic inches.
wrooong
Apologies for the error. Let's correct it:
Given:
Length = 11 1/5 in. = 11 + 1/5 = 55/5 + 1/5 = 56/5
Width = 9 1/2 in. = 9 + 1/2 = 18/2 + 1/2 = 19/2
Height = 8 1/2 in. = 8 + 1/2 = 16/2 + 1/2 = 17/2
Now, let's plug these values into the formula:
V = (56/5) * (19/2) * (17/2)
V = (56 * 19 * 17) / (5 * 2 * 2)
V = (18104) / 20
V = 905.2
Therefore, the volume of the rectangular prism is 905.2 cubic inches.
MIXED NUMBER
My apologies for the oversight. Let's convert the decimal value to a mixed number.
905.2 is equivalent to 905 2/10 or 905 1/5 when simplified.
Therefore, the volume of the rectangular prism can be expressed as 905 1/5 cubic inches.