Problem
A]rectangular pyramid has a height of 5 units and a volume of 60 units \( ^{3} \). Shannon states that a rectangular prism with the same base area and height has a volume that is three times the size of the given rectangular pyramid. Which statement explains whether Shannon is correct? A rectangular prism in which \( \mathrm{BA}=36 \) and \( \mathrm{h}=5 \) has a volume of 180 units \( ^{3} \); therefore, Shannon is correct A rectangular prism in which \( \mathrm{BA}=12 \) and \( \mathrm{h}=5 \) has a volume of 180 units \( ^{3} \); therefore, Shannon is correct A rectangular prism in which \( B A=36 \) and \( \mathrm{h}=5 \) has a volume of 60 units \( ^{3} \); therefore, Shannon is incorrect A rectangular prism in which \( B A=12 \) and \( h=5 \) has a volume of 60 units \( ^{3} \); therefore, Shannon is incorrect
Solution
Step 1 ：\(V_{pyramid} = 60 \text{ units}^{3} \)
Step 2 ：\(V_{prism} = BA\times h \)
Step 3 ：\(180 = 3 \times 60 \)
