Question

decide if each expression can be used to find the volume, in cubic centimeters, of the rectangular prism below. choose yes or no for each expression.
1 cm
1 cm
1 cm
15×2
(5 + 3)×2
15 + 15
5 + 3 + 2
15 + 2

Explanation:

Step1: Calculate the volume of the rectangular prism

The volume \( V \) of a rectangular prism is given by \( V=l\times w\times h \). From the figure, \( l = 5\space cm\), \(w=3\space cm\), \(h = 2\space cm\). So \( V=5\times3\times2=30\space cm^{3}\).

Step2: Evaluate each expression

• For \(15\times2\): \(15\times2 = 30\).
• For \((5 + 3)\times2\): \((5 + 3)\times2=8\times2 = 16\).
• For \(15+15\): \(15+15=30\).
• For \(5 + 3+2\): \(5 + 3+2=10\).
• For \(15+2\): \(15+2=17\).

Answer:

A. Yes, B. No, C. No, D. Yes, E. Yes, F. No, G. No, H. Yes, I. No, J. Yes