12. a) A triangular pyramid has an equilateral triangle with sides of length √2 as its base. The remaining sides have length 1. Find the volume of this pyramid.

Q: 7. What is the length of the side of a cube if the volume equals the volume of a frustum of a…

A: Data regarding the frustrum of a pyramid Area of top base Area of bottom base Height Let side length…

Q: 19. What is the volume of a square pyramid whose length of one side of its base is 9 cm and whose…

A: Volume of pyramid problem.....

Q: 3. A rectangular pyramid is sliced diagonally through its lateral sides but not through the base.…

A: The objective of the question is to determine the shape of the cross section when a rectangular…

Q: What is the volume of the parallelepiped with sides 6i + 9j + 5k, 2j + 5k, and 10k? volume %3D

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Q: A pyramid has a base in the shape of a regular octagon with side length 7 feet. The lateral area of…

A: Detail solution written below

Q: 14.) Find the volume of a sphere with radius 18 m.

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Q: 4. Some perfumes are packaged in square pyramidal containers. The base area of one bottle is 16 in²,…

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Q: A regular square pyramid has base edge 10 and height 12. Find its total area and volume.

A: The base edge of the square pyramid is given as, b=10. The height of the square pyramid is , h=12.…

Q: Show that a pyramid of height h whose base in an equilateral triangle of side s has √3 2 volume -hs"…

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Q: The base of a rectangular pyramid has dimensions 6 by 12. The slant heights of the two lateral faces…

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Q: olume of the space around the pyramid if it is enclosed in a rectangular prism with the same square…

A: Side of base a=6 cm Height of square pyramid h=21 cm