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Cavalieri-s Principle and Volume of Composite Figures, Assignment (1)
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Cavalieri's Principle and Volume of CompositeFigures, Assignment
Which right prism would have the same volume as a square prism with a base area of 36 m^2
and a height of 3 m? - ANS-B. (2m by 18m by 3m)
Which statements about the composite figure are true? Check all that apply. - ANS-The
composite figure consists of two rectangular pyramids.
The total volume is 45 units^3.
A cone and a triangular pyramid have a height of 9.3 m and their cross-sectional areas are
equal at every level parallel to their respective bases.
What is the height, x, of the triangle base of the pyramid? Round to the nearest tenth. - ANS-x =
17.1 in
Which expression represents the volume of the composite figure? - ANS-D. 1/2(2)(4.4)(5)
+1/3(1/2) (2)(4.4)(3.9)
A frustum is formed when a plane that is parallel to a cone's base cuts off the upper portion, as
shown below.
What is the volume of the frustum? Leave the answer in terms of π. - ANS-44 π units^3
Right cone A and oblique cone B both have a height of 26 mm. Complete the statements about
the two cones.
The volumes of the cones are equal when _____.
If a > b, then the cross-sectional area of cone A is ____________ the cross-sectional area of
cone B at every level parallel to their respective bases. - ANS-a = b
greater than
A toy company needs to package balls with a 2-inch radius in sets of two. They have two
options: a square prism or a cylinder. The dimensions are shown below.
It costs the same to produce both packages, so the company wants to reduce the amount of
wasted space, or space not taken by the balls. Which package should the company choose? -
ANS-the cylinder because it has about 27.5 in^3 less wasted space than the prism
A steel hex nut has two regular hexagonal faces and a hole with a diameter of 0.4 cm through
the middle. Its mass is 3.03 grams. - ANS-1. V = 0.45cm^32.
2. V = 0.06cm^33.
3. V = 0.39cm^34.
4. D = 7.77g/cm^3
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