Previous problems can be found here.
Part 1
11. A solid metal prism has a rectangular base with sides of 4 inches and 6 inches, and a height of 4 inches. A hole in the shape of a cylinder, with a radius of 1 inch, is drilled through the entire length of the rectangular prism.
What is the approximate volume of the remaining solid, in cubic inches?
(2) 77.
The Volume of the prism is 4 x 4 x 6 or 96 cubic inches. The Volume lost by drilling the cylinder is (1)2(pi)(6), which is approximately 18.85. Subtract 96 - 19 = 77.
12. Given the right triangle in the diagram below, what is the value of x, to the nearest foot?
(3) 18
Cos (40) = 14 / x.
so x = 14 / cos (40) = 18.3
Make sure your calculator is in Degree mode.
Continue to the next problems.
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