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trvptierra
22.07.2019 •
Mathematics
Arectangular prism has dimensions 8 inches by 2 inches by 32 inches. if a cube has the same volume as the prism, what is the surface area of the cube, in square inches?
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Ответ:
V = a³
We know the volume of the cube because it is the same as the prism, and we know the prism because of V = l × w × h.
V = 8 × 2 × 32... V = 512
So the cube's volume is 512 as well
So... 512 = a³
∛512 = a
a = 8
a is one side of the cube, a² is one face. A cube has 6 faces similar to a die with six numbers. So 6 × a² is the surface area. 384 is your answer.
Ответ:
Add the similar elements
Step-by-step explanation: Further steps
Divide both sides by 4
Simplify