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Area and Volumes (Sphere and Cone Included) (Supp Ex) (1)

# Area and Volumes (Sphere and Cone Included) (Supp Ex) (1) -...

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15 mm 5 mm 9 m 5 cm A B C V 3 cm 6 cm 10 cm Area and Volumes (Sphere and Cone Included) Supplementary Exercise 1 1. The base of a pyramid is a rhombus ABCD with vertex V . The diagonals AC and BD are 10 cm and 8 cm respectively. Suppose the slant edges VA , VC are both 13 cm and the slant edges VB , VD are equal. Find the volume of the pyramid. (Note that the pyramid is not a right one.) ……………………………………………………………………………………… ……………………………………………………………………………………… ……………………………………………………………………………………… ……………………………………………………………………………………… ……………………………………………………………………………………… ……………………………………………………………………………………… ……………………………………………………………………………………… ……………………………………………………………………………………… ……………………………………………………………………………………… 2. The total surface area of a right pyramid is 408 cm 2 . If the area of the square base is 144 cm 2 , find the height of the right pyramid. ……………………………………………………………………………………… ……………………………………………………………………………………… ……………………………………………………………………………………… ……………………………………………………………………………………… ……………………………………………………………………………………… ……………………………………………………………………………………… ……………………………………………………………………………………… ……………………………………………………………………………………… ……………………………………………………………………………………… ……………………………………………………………………………………… ……………………………………………………………………………………… 3. About 70% of the earth’s surface is covered with water and the rest is land. If the earth is regarded as a sphere and the distance (on the earth surface) between the north pole and south pole is 20 000 km, what is the land area of the earth’s surface?

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