What is the volume, in cubic feet, of a rectangular prism with a length of 2 ft., a width of 4 1/6 ft., and a height of 8 1/2 ft.? Your answer should be a mixed number in simplest form.(1 point)
ft.(power of 3)
5 answers
71 2/3 ft^3
WRONG!
To calculate the volume of a rectangular prism, you multiply the length, width, and height together.
Volume = Length x Width x Height
Volume = 2 ft x 4 1/6 ft x 8 1/2 ft
First, convert the mixed numbers to improper fractions:
4 1/6 = 25/6
8 1/2 = 17/2
Now, multiply:
Volume = 2 x 25/6 x 17/2
Volume = 50/3 x 17/2
Volume = 850/6
Volume = 425/3
Now, simplify the fraction:
425 รท 3 = 141 with a remainder of 2
Volume = 141 2/3 ft^3
Therefore, the correct volume of the rectangular prism is 141 2/3 ft^3.
Volume = Length x Width x Height
Volume = 2 ft x 4 1/6 ft x 8 1/2 ft
First, convert the mixed numbers to improper fractions:
4 1/6 = 25/6
8 1/2 = 17/2
Now, multiply:
Volume = 2 x 25/6 x 17/2
Volume = 50/3 x 17/2
Volume = 850/6
Volume = 425/3
Now, simplify the fraction:
425 รท 3 = 141 with a remainder of 2
Volume = 141 2/3 ft^3
Therefore, the correct volume of the rectangular prism is 141 2/3 ft^3.
WRONG! GET IT RIGHT THIS TIME!
I apologize for the mistake. Let's recalculate the volume of the rectangular prism step by step.
Given:
Length = 2 ft
Width = 4 1/6 ft = 25/6 ft
Height = 8 1/2 ft = 17/2 ft
Volume = Length x Width x Height
Volume = 2 ft x 25/6 ft x 17/2 ft
Multiplying the fractions:
Volume = 2 x 25 x 17 / 6 x 2
Volume = 850 / 12
Volume = 70.8333 ft^3
Converting the decimal to a mixed number in simplest form:
70.8333 = 70 5/6 ft^3
Therefore, the volume of the rectangular prism is 70 5/6 ft^3.
Given:
Length = 2 ft
Width = 4 1/6 ft = 25/6 ft
Height = 8 1/2 ft = 17/2 ft
Volume = Length x Width x Height
Volume = 2 ft x 25/6 ft x 17/2 ft
Multiplying the fractions:
Volume = 2 x 25 x 17 / 6 x 2
Volume = 850 / 12
Volume = 70.8333 ft^3
Converting the decimal to a mixed number in simplest form:
70.8333 = 70 5/6 ft^3
Therefore, the volume of the rectangular prism is 70 5/6 ft^3.