SAT Subject Test Mathematics Level 1
Answer Key SOLID GEOMETRY DIAGNOSTIC TEST 1 . E 2 . C 3 . E 4 . E 5 . E ...
Find Your Study Plan The answer key shows where in this chapter to find explanations for the questions y ...
Solid Geometry Test Topics The questions in the Solid Geometry Diagnostic Test are typical of those on the ...
For example, in the figure above, c = 2π and ℓ = 3, so Volume of a cone: Given base radius r and h ...
Surface Area of Sphere = 4πr^2 For example, if the radius of a sphere is 2, then Surface Area = 4π(2^2 ) ...
For example, in the figure above, h = 3 and, since the base is a square, B = 16, then: Here’s a qu ...
As you can see, this question is hard enough even with the formulas provided. This is no mere ma ...
And so the answer is (E). PICK NUMBERS When the answer choices are algebraic expressions, it is often quickest ...
work with. Here you could even pick x = 1 because it’s clear that when x = 1, all the answ ...
THE TEST MAKERS’ FAVORITE SOLID The test makers’ favorite solid is the rectangular solid. That’s the official g ...
Example 2 Figure 1 One way to find this distance is to apply the Pythagorean theorem twice. First plug the di ...
So you can plug the base diagonal and the height into the Pythagorean theorem to find AB: The answer is (C). ...
UNIFORM SOLIDS A rectangular solid is one type of uniform solid. A uniform solid is what you get when you t ...
In every one of the above cases—indeed, in the case of any uniform solid—the volume is equal to the area of ...
Volume of a Cube = s^3 Volume of a Cylinder = πr^2 h Volume of a rectangular solid: A rectangular solid ...
Volume of a Cube = s^3 The volume of this cube is 2^3 = 8. Volume of a cylinder: A cylinder is a ...
Example 3 Figure 2 The surface area is the sum of the areas of the faces. To find the areas of the faces, you ...
triangle, which means that you can use the legs as the base and height to find the area: That’s the area o ...
Figure 3 Can you visualize—picture in your mind—what the resulting solid looks like? It can be a little dif ...
Volume of Cylinder = πr^2 h = π(3^2 )(2)=18π ≈56.55 The answer is (E). Applying the formula was the easy pa ...
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