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.?(1 point)
Responses
96,228 4/25in.3
96,228 Start Fraction 4 over 25 end fraction in cubed
904 2/5in.3
904 Start Fraction 2 over 5 end fraction in cubed
29 1/5in.3
29 Start Fraction 1 over 5 end fraction in cubed
106 2/5in.3
To find the volume of the rectangular prism, we use the formula V = B x h, where B is the area of the base and h is the height.
First, calculate the area of the base:
Area = length x width
Area = 11 1/5 in. x 9 1/2 in.
Area = (56/5) in. x (19/2) in.
Area = 532/5 in. x 19/2 in.
Area = 5048/10 in.
Area = 504.8 in.
Now, plug the area of the base and the height into the formula:
V = 504.8 in. x 8 1/2 in.
V = 504.8 in. x 17/2 in.
V = 8581.6/2 in.
V = 4290.8 in.
Therefore, the volume of the rectangular prism is 4290.8 in.3. This can be simplified to 8581.6/2 in.3 or 4290 4/5 in.3. So the correct answer is 4290 4/5 in.3.
WRONG!
I apologize for the mistake. Let me recalculate.
Given:
Length = 11 1/5 in. = 56/5 in.
Width = 9 1/2 in. = 19/2 in.
Height = 8 1/2 in. = 17/2 in.
Calculate the area of the base:
Area = length x width
Area = (56/5) in. x (19/2) in.
Area = (1064/10) in.
Area = 106.4 in.
Now, plug the area of the base and the height into the formula:
V = 106.4 in. x (17/2) in.
V = 1808.8/2 in.
V = 904.4 in.
Therefore, the correct answer is 904 2/5 in.3.