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Name________________
Chapter 12
Given a prism with a base area of 20 mm2, base perimeter 12 mm, and height 8 mm, find:
Volume
Total surface area
Find the lateral area, total surface area and volume of each shape.
Lateral area______________
25
Surface area_____________
Volume_________________
14
Surface area_____________
12
Volume_________________
Lateral area______________
10
Surface area_____________
15
Volume_________________
Assume the hexagon is regular.
Find the volume of the solid obtained by curling the sector of paper into a cone.
60o
24
Find the volume of a sphere whose surface area is 100  .
The pyramid is cut to form a frustrum whose height is 12. The bases of the frustrum are
squares with sides 2 and 10. Find the volume of the frustrum.
12
The figure shown is a glass case 1” thick. Find the volume of glass needed to make the
case. (Note: the case is a shell… that is, it is open at both end)
20”
4”
6”
Given: A cube with a face diagonal of 9 2 , find the volume of the cube.
Four cuts are made in the log to remove the bark. What is the volume of the remaining
piece?
10’
10”
13”
5”
12”