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alisonlebron15
04.02.2020 •
Mathematics
The world's largest cube puzzle is in knoxville tennessee. it measures 6 feet on each side. the scale factor between a standard cube puzzle and the largest puzzle is 1/24. find the surface area and volume of the standard cube puzzle
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Ответ:
0.375 ft²
0.15625ft³
Step-by-step explanation:
To find the surface area and the volume of the standard cube, we first need to convert the measurements of the largest cube to a 1/24 scale.
Side = 6 x![\dfrac{1}{24}](/tpl/images/0499/5398/94258.png)
Side = 0.25 ft
Now to solve for the surface area of the cube, we use the formula:
SA = 6a²
a = 0.25
SA = 6(0.25)²
SA = 6(0.0625)
SA = 0.375 ft²
Now to solve for the volume, we use the formula:
V = a³
V = 0.25³
V = 0.15625ft³
Ответ:
The value of p is 2.
Step-by-step explanation:
Given equation,
Divide both sides by 9,
Hence, the value of p is 2.