raemyiajackson1
31.03.2020 •
Mathematics
Elimination: (-3x - 15y = -17) and (-x + 5y = -13) *
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Ответ:
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 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) A rectangular prism in which BA = 36 and h = 5 has a volume of 180 units³; therefore, Shannon is correct.
Step-by-step explanation:
The formula for the volume of a Rectangular Pyramid = 1/3 × Base Area × Height
In the question,
Base Area = ?
Height = 5 units
Volume = 60 units³
So,
60= 1/3 × BA × 5
Cross Multiply
180 = 5BA
BA = 180/5
BA = 36 units²
Also, the Volume of a Rectangular Prism =
Base Area × Height
From the above question
Base Area = 36 units²
Height = 5 units
Volume of the Rectangular prism = 36 units² × 5 units
= 180 units³
Therefore , the statement that explains whether Shannon is correct is option a,
" A rectangular prism in which BA = 36 and h = 5 has a volume of 180 units³; therefore, Shannon is correct.