What is the volume, in cubic feet, of a rectangular prism with a height of 2 1/2 ft., a length of 2 1/4 ft., and a width of 3 1/8 ft.? Your answer should be a mixed number in simplest form.(1 point)

Question

ft.3

thanks

Answer 1

The formula to calculate the volume of a rectangular prism is V = length x width x height.

Given:
Length = 2 1/4 ft = 9/4 ft
Width = 3 1/8 ft = 25/8 ft
Height = 2 1/2 ft = 5/2 ft

V = (9/4) x (25/8) x (5/2)
V = (9 x 25 x 5) / (4 x 8 x 2)
V = 1125 / 64
V = 17 17/64 ft^3

Therefore, the volume of the rectangular prism is 17 17/64 ft^3.

Answer 2

your sure right?

Answer 3

Apologies for the error in my previous response. Let's correct the calculation for the volume of the rectangular prism:

Given:
Length = 2 1/4 ft = 9/4 ft
Width = 3 1/8 ft = 25/8 ft
Height = 2 1/2 ft = 5/2 ft

V = (9/4) x (25/8) x (5/2)
V = (9 x 25 x 5) / (4 x 8 x 2)
V = 1125 / 64
V = 17.578125 ft^3

Therefore, the correct volume of the rectangular prism is 17.578125 ft^3.

Answer 4

so the answer is?

Answer 5

My apologies for the confusion in my previous responses. Let's simplify the mixed number in simplest form:

17.578125 ft^3 can be expressed as a mixed number in simplest form as:

17.578125 = 17 + 0.578125
0.578125 in fraction form is 578125/1000000

Therefore, 17.578125 = 17 + 578125/1000000 = 17 578125/1000000

To simplify the fraction:
578125 and 1000000 have a common factor of 125, which simplifies to 4635 and 8000 respectively.

Thus, 17.578125 ft^3 simplifies to 17 4635/8000 ft^3 in simplest form.

I hope this clarifies the answer for the volume of the rectangular prism.

Answer 6

wrong try again please

Answer 7

I apologize for the confusion in my previous responses. Let's simplify the mixed number in simplest form:

The correct calculation for the volume of the rectangular prism is:

V = (9/4) x (25/8) x (5/2)
V = (9 x 25 x 5) / (4 x 8 x 2)
V = 1125 / 64
V = 17.578125 ft^3

To express this as a mixed number in simplest form:
- 17 represents the whole number part
- 0.578125 needs to be converted to a fraction

0.578125 in fraction form is 578125/1000000, which can be simplified by dividing by 78125. It simplifies to 7/16.

Therefore, the volume of the rectangular prism is:
17 + 7/16 = 17 7/16 ft^3

Hence, the volume of the rectangular prism in simplest form as a mixed number should be 17 7/16 ft^3. Thank you for your patience.

Answer 8

wrong try again please 😒

Answer 9

I apologize for the errors in my previous responses. Let me re-calculate the volume of the rectangular prism with the given dimensions:

Given:
Length = 2 1/4 ft = 9/4 ft
Width = 3 1/8 ft = 25/8 ft
Height = 2 1/2 ft = 5/2 ft

V = (9/4) x (25/8) x (5/2)
V = (9 x 25 x 5) / (4 x 8 x 2)
V = 1125 / 64
V = 17.578125 ft^3

Now, to convert 17.578125 ft^3 to a mixed number in simplest form:
17.578125 = 17 + 0.578125

0.578125 can be simplified as:
0.578125 = 578125/1000000 = 578125/1000000 = 23/40

Therefore, the volume of the rectangular prism in simplest form as a mixed number is:
17 23/40 ft^3

I hope this resolves the calculation accurately for you. Thank you for your understanding.

Answer 10

why cant you just get it right!!!!!!!!!!

sorry i get angry 😔

Answer 11

I apologize for the frustration caused by the repeated errors in my responses. Let's correct the calculation for the volume of the rectangular prism with the given dimensions:

Given:
Length = 2 1/4 ft = 9/4 ft
Width = 3 1/8 ft = 25/8 ft
Height = 2 1/2 ft = 5/2 ft

V = (9/4) x (25/8) x (5/2)
V = (9 x 25 x 5) / (4 x 8 x 2)
V = 1125 / 64
V = 17.578125 ft^3

To convert 17.578125 ft^3 to a mixed number in simplest form:
17.578125 = 17 + 0.578125

0.578125 can be simplified as follows:
0.578125 = 578125/1000000 = 23/40

Therefore, the correct volume of the rectangular prism in simplest form as a mixed number is:
17 23/40 ft^3

I appreciate your patience, and thank you for bringing this to my attention.