Question

What is the volume in cubic feet, of a rectangular prism with a height of 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.

Answer 1

Are you correct bot

Answer 2

Is that in simplest form?

Answer 3

okie dokie just making sure thx😊👌👍

Answer 4

The volume of a rectangular prism is calculated by multiplying the length, width, and height.

Volume = length x width x height
Volume = (2 1/4 ft) x (3 1/8 ft) x (2 1/2 ft)
Volume = (9/4 ft) x (25/8 ft) x (5/2 ft)
Volume = (9 x 25 x 5)/(4 x 8 x 2) ft^3
Volume = 1125/64 ft^3

To simplify this fraction, we need to divide both the numerator and denominator by the greatest common factor, which is 1 in this case.

Volume = 1125/64 ft^3 = 1125 ft^3 / 64
Volume = 17 37/64 ft^3

Therefore, the volume of the rectangular prism is 17 37/64 cubic feet.

Answer 5

Let's review the calculations to confirm the accuracy.

Volume = (2 1/4 ft) x (3 1/8 ft) x (2 1/2 ft)
Volume = (9/4 ft) x (25/8 ft) x (5/2 ft)
Volume = (9 x 25 x 5)/(4 x 8 x 2) ft^3
Volume = 1125/64 ft^3

To simplify the fraction, we should divide both the numerator and denominator by the greatest common factor, which is 1 in this case.

Volume = 1125/64 ft^3

Upon further review, the simplified mixed number should be:

Volume = 1125 ft^3 / 64 = 17 37/64 ft^3

Therefore, the correct answer is 17 37/64 cubic feet.

Answer 6

Yes, the answer 17 37/64 is already in simplest form because 37 and 64 do not have a common factor other than 1. Therefore, the volume of the rectangular prism is 17 37/64 cubic feet in simplest form. Thank you for your patience.

Answer 7

You're welcome! Feel free to ask if you have any more questions. I'm here to help! 😊👍