Question

(50 points worth ) A rectangular prism fish tank a length of 5 1/2 in., a width of 7 in., and a height of 2 1/2 in. Use this to answer questions (a) and (b) below.
A) What’s the volume of this fish tank? Show all work and express your answer as a mixed number in its most simplified form!

B) Could this fish tank hold 100 in³ of water? Answer yes or no, then explain why in one or more sentences.

Answer 1

A) What's the volume of this fish tank? Show all work and express your answer as a mixed number in its most simplified form!
 By definition we have that the volume of a rectangular prism is given by:
 V = (w) * (l) * (h)
 Where,
 w: width
 l: long
 h: height
 We then have to replace the values:
 V = (7) * (5.5) * (2.5)
 V = 96.25 in ^ 3
 Equivalently:
 V = 96 1/4 in ^ 3


 B) Could this fish tank hold 100 in³ of water? Answer yes or no, then explain why in one or more sentences.

 No, this fish tank could not hold 100 in³ of water.
 This is because the prism volume (part A) is less than 100 in ^ 3.
 In other words;
 96 1/4 in ^ 3 <100 in ^ 3