Question

Writing Prompt

Which tent has the greater volume? Please write a short letter to Jessica to help her
choose the tent with the greatest volume. Make sure to include your steps, calculations, and use
letter format: Date, Salutation, Body, and Closing. In addition, please use complete sentences and
academic vocabulary. Use S.E.E. format.
T
3 ft
6 ft
Cylinder
Formula
Tent A
8 ft
6 ft
Simplify
Triangular Prism
Tent B
-5 ft-
S: Statement: Which tent has the greater volume?
E: Evidence: Include your formulas and calculations.
E: Explain: Explain your decision and please don't forget to include the
units.
7 ft
Multiply
Unit
Volume
Divide

Answer 1

Date: May 3, 2023

Dear Jessica,

I am writing to help you choose the tent with the greatest volume between Tent A and Tent B. To determine this, I used the formula for the volume of a cylinder and a triangular prism.

Tent A has a height of 8ft, a length of 6ft, and is in the shape of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height. Since Tent A has a radius of 3ft (half of its length), we can substitute these values into the formula to get:

V = π(3ft)^2(8ft)

V = 226.19 cubic feet

On the other hand, Tent B has a height of 7ft, a length of 6ft, and is in the shape of a triangular prism. The formula for the volume of a triangular prism is V = (1/2)bh, where b is the base length and h is the height. Since Tent B has a base length of 6ft and a height of 5ft, we can substitute these values into the formula to get:

V = (1/2)(6ft)(7ft)

V = 21 cubic feet

Therefore, Tent A has a greater volume than Tent B with a volume of 226.19 cubic feet compared to 21 cubic feet for Tent B. Thus, I would recommend choosing Tent A if you are looking for a tent with a larger volume.

I hope this helps you in making an informed decision. If you have any further questions or need clarification, please do not hesitate to ask.

Best regards,

[Your Name]

Explanation:

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