volume of the prism. 4. Classify each of the prisms below. Compute for the volume of so volume and the lateral area of each of the remaining solids. 3 base is a reguler pentagon b) 2 cm 2 cm c) 16" base is a regular pentagon perpendicular t

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Number 4, a b c and d
6:16 ull ? 0.31
A @ O 44
KB/S
0001.jpg
ASSIGNMENT # 2
Chapter 8: PRISMS AND CYLINDERS
Problem Solving
Instruction: Analyze and solve each problem and provide complete solution for each
item (Please use a clean A4 size paper or Short Bond Paper for your solutions
computations)
1. A container in the form of a triangular prism as shown in the figure below contains
water at a depth of 6 inches. Find the volume of water and the wet part of the
container.
2. Find the volume of a right triangular prism whose height is 100 cm and whose base
is a right triangle with a hypotenuse of 30 cm in length and an angle equal to 60°.
3. One edge of an oblique prism forms an angle of 30° with its projection on the plane
of one base. If the lateral edge is 15 cm long and the base area is 20 cm?, find the
volume of the prism.
4. Classify each of the prisms below. Compute for the volume of solid (a), and the
volume and the lateral area of each of the remaining solids.
c)
d)
a)
b)
cm
16"
3'
base is e
reauler
base is e regular pentagon
perpendic
pentagon
rto an edge
5. Each base of a right prism is a rhombus. The diagonals of a base are 12 and 6, and
the altitude of the prism is 18. Find the volume and the lateral area.
6. Find the lateral area of a cylinder of height 12 inches and base radius
4 inches.
Transcribed Image Text:6:16 ull ? 0.31 A @ O 44 KB/S 0001.jpg ASSIGNMENT # 2 Chapter 8: PRISMS AND CYLINDERS Problem Solving Instruction: Analyze and solve each problem and provide complete solution for each item (Please use a clean A4 size paper or Short Bond Paper for your solutions computations) 1. A container in the form of a triangular prism as shown in the figure below contains water at a depth of 6 inches. Find the volume of water and the wet part of the container. 2. Find the volume of a right triangular prism whose height is 100 cm and whose base is a right triangle with a hypotenuse of 30 cm in length and an angle equal to 60°. 3. One edge of an oblique prism forms an angle of 30° with its projection on the plane of one base. If the lateral edge is 15 cm long and the base area is 20 cm?, find the volume of the prism. 4. Classify each of the prisms below. Compute for the volume of solid (a), and the volume and the lateral area of each of the remaining solids. c) d) a) b) cm 16" 3' base is e reauler base is e regular pentagon perpendic pentagon rto an edge 5. Each base of a right prism is a rhombus. The diagonals of a base are 12 and 6, and the altitude of the prism is 18. Find the volume and the lateral area. 6. Find the lateral area of a cylinder of height 12 inches and base radius 4 inches.
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