Answered

Join IDNLearn.com and start getting the answers you've been searching for. Our Q&A platform offers reliable and thorough answers to ensure you have the information you need to succeed in any situation.

A right square prism has a volume of 360 cubic units.

Which could be the dimensions, in units, of the prism? Select three options.

A. 3 by 3 by 40
B. 4 by 4 by 20
C. 5 by 5 by 14
D. 2.5 by 12 by 12
E. 3.6 by 10 by 10

Sagot :

GinnyAnsweridn
To determine the dimensions of a right square prism that has a volume of 360 cubic units, we need to verify which of the given options yields a volume of 360 cubic units when multiplying the length, width, and height.

Let's go through each option step by step:

1. Option 1: 3 by 3 by 40
- Volume = length × width × height
- Volume = 3 × 3 × 40
- Volume = 9 × 40
- Volume = 360 cubic units
Hence, 3 by 3 by 40 is a valid option.

2. Option 2: 4 by 4 by 20
- Volume = length × width × height
- Volume = 4 × 4 × 20
- Volume = 16 × 20
- Volume = 320 cubic units
Hence, 4 by 4 by 20 is not a valid option.

3. Option 3: 5 by 5 by 14
- Volume = length × width × height
- Volume = 5 × 5 × 14
- Volume = 25 × 14
- Volume = 350 cubic units
Hence, 5 by 5 by 14 is not a valid option.

4. Option 4: 2.5 by 12 by 12
- Volume = length × width × height
- Volume = 2.5 × 12 × 12
- Volume = 2.5 × 144
- Volume = 360 cubic units
Hence, 2.5 by 12 by 12 is a valid option.

5. Option 5: 3.6 by 10 by 10
- Volume = length × width × height
- Volume = 3.6 × 10 × 10
- Volume = 3.6 × 100
- Volume = 360 cubic units
Hence, 3.6 by 10 by 10 is a valid option.

Thus, the three sets of dimensions that result in a volume of 360 cubic units are:
- 3 by 3 by 40
- 2.5 by 12 by 12
- 3.6 by 10 by 10
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Thank you for visiting IDNLearn.com. We’re here to provide clear and concise answers, so visit us again soon.