One face of a cube-shaped package has an area of 7 5/6 square inches. What is closest to the total surface area of the package?
A gardener has a cylindrical planter that has a diameter of 1 1/3 feet and is 2 feet deep. What is the approximate number of cubic feet of potting soil that he will need to fill the planter?
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One face of a cube-shaped package has an area of 7 5/6 square inches. What is closest to the total surface area of the package?
A gardener has a cylindrical planter that has a diameter of 1 1/3 feet and is 2 feet deep. What is the approximate number of cubic feet of potting soil that he will need to fill the planter?
A cube has six faces. If the area of one face is 7 5/6 square inches,
we multiply that times six to find the area of all six of the cube's faces.
Note that 7 5/6 is the same as 47/6. So, 47/6 • 6 = 47 ... that's sq in.
So the answer is C. 48 which is the wrong amount, but it's the closest.
The volume of a cylinder is the area of the base times the height.
Diameter is 1 1/3 (same as 4/3) feet so the radius is half that, i.e., 2/3.
V = π r2 h = 3.14 • (2/3)2 • 2 = (3.14) • (4/9) • 2 = 2.79 that's sq ft.
So the answer is A. 2.79 which at least they got it right this time.
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