Question
A rectangular pyramid has a height of 5 units and a volume of 60 units3. Shannon states that a rectangular prism with the same base
A rectangular pyramid has a height of 5 units and a volume of 60 units3. 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. A rectangular prism in which BA = 36 and h = 5 has a volume of 180 units3; therefore, Shannon is correct.
b. A rectangular prism in which BA = 12 and h = 5 has a volume of 180 units3; therefore, Shannon is correct.
c. A rectangular prism in which BA = 36 and h = 5 has a volume of 60 units3; therefore, Shannon is incorrect.
d. A rectangular prism in which BA = 12 and h = 5 has a volume of 60 units3; therefore, Shannon is incorrect.
A cone has a volume of 144 in3 and a diameter of 12 in. Wilson states that a cylinder with the same height and diameter has the same volume. Which statement explains whether or not Wilson is correct?
A cylinder in which h = 12 and d = 12 has a volume of 144 in3; therefore, Wilson is correct.
A cylinder in which h = 4 and d = 12 has a volume of 144 in3; therefore, Wilson is correct.
A cylinder in which h = 12 and d = 12 has a volume of 432 in3; therefore, Wilson is incorrect
A cylinder in which h = 4 and d = 12 has a volume of 432 in3; therefore, Wilson is incorrect.
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