(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.
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
