A pyramid 15 cm high is divided into three parts by two planes parallel to the base. These planes are at distances 3 cm and 10 cm from the vertex. Find the ratio of the volume of the þiggest part to the volume of the smallest part.

Q: A pyramid has a base area of 16 cm 2and a volume of 32 cm 2. Findits height.

A: If the base area of a pyramid is given as B and the height of the pyramid is given as h, then the…

Q: A rectangular lot is to be enclosed with a fence. A building is on one side of the lot, so it won't…

A: Let, the dimension is x and y and the building is on the x length side. Therefore, fence length is…

Q: Find the dimensions of a rectangular rug whose perimeter is 26 ft and whose area is 42 ft². The rug…

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Q: A pyramid tent has a capacity of 240 m3. If the base is 10 m by 8 m, find its height.

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Q: A prism with height 2 m and a pyramid with height 5 m have congruenttriangular bases. Find the ratio…

A: Volume of Prism = area of base of prism × height   i.e. ,                     = A×2       (Let A…

Q: . A truck rental company rents a 12-ft by 8-ft by 6-ft truck for $69.95 per day plus mileage. A…

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Q: A right rectangular prism has a length of 2 1/2 feet, a width of 3 feet and a height of 1 1/2 feet.…

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Q: A farmer has $1500 available to build an E-shaped fence along a straight river so as to create two…

A: A farmer has $1500 available to build an E-shaped fence along a straight river so as to create two…

Q: A container in the shape of a cuboid is 10 cm long and 9 cm wide.  If the volume of the container…

A: We have given that Length (l) = 10 cm  Breadth (b) = 9 cm Volume of cuboid (V) = 540 cm³

Q: A tea bag is shaped like a regular square pyramid. Each edge of the base is 4 centimeters, and the…

A: The objective of this question is to find the volume of a regular square pyramid. The formula for…

Q: A chord of a circle 0.65 m from the center is 1.25 meters long. What is the area of the circle?

A: Given that a length of the chord AC is 1.25 m of a circle centered at O is located in a distance…

Q: A rectangular window has a 15-yd diagonal and an area of 108 yd2. Find the dimensions of the window.

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Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.