Solid geometry, stereometry - page 2 of 121
Number of problems found: 2402
- Three cubes
Three cubes of iron whose edges are 6 cm, 8 cm, and 10 cm, respectively, are melted and formed into a single cube. Find the edge of the new cube. - Spheres to cone
Two solid spheres of radii 2 cm and 4 cm are melted and recast into a cone of height 8 cm. Find the radius of the cone so formed. - Melting 3 cubes The sides of the three metal cubes are 30 cm, 40 cm, and 50 cm, respectively. Find the side of the new cube formed by melting these cubes together.
- A cube 3 A cube of edge 100 cm has the same volume as a cube of edge 1 m. how many cubic centimeters make 1 cubic meter?
- Jane and tent
Jane and her father were going to the tent. They found that their old tent was torn. Their mother suggested that they sew a tent whose walls would be made of 4 identical isosceles triangles. Their lower side is 2 m long, and the height is also 2 m. Then, - Geometric Solid
A concrete pipe is 1.0 m long. The inside and outside diameters are 60 cm and 75 cm, respectively. What is the volume of the concrete (in cubic meters) needed to make 25 pieces of pipe? - Saria
Saria is wrapping a gift for her mother. The gift box is in the shape of a rectangular prism and is 5 centimeters high, 25 centimeters long, and 40 centimeters wide. How much wrapping paper will you need to wrap the gift box?
- Lamp shade
A lamp shade is in the form of a frustum of a cone with slant height 7 in., radii of bases 3 in. and 7 in. respectively. How much material is used in its construction if ¼ in. is allowed for the seam. - Eva wraps
Eva wraps a gift box in the shape of a right rectangular prism. The figure shows a net for the gift box. How much wrapping paper did she use, in square meters? - A capsule
A medicine capsule is a cylinder with two hemispheres stuck to each end. Its length is 14 mm, and its diameter is 5 mm. Find its surface area. - The area 4
In square decimeters, how much is the area of a cylinder with a height of 2 dm and a diameter of 1 dm? " - Prism - base and height
Find volume of the prism if the base area equals 20 inches² with the height is 12 inches. - Spire - prism
Calculate the surface of a spire with a base in the shape of a rectangle with dimensions of 5m and 6m. The height of the spire is 7m. - New drink
Create a new drink can that will double the volume of the original can used. The dimensions of the can: 6cm diameter and 10cm height. You are to double the volume with the least amount of additional aluminum needed for the new can. There are 3 options : O - A piece 7 A piece of dry ice is in the shape of a cube with edge lengths of 7cm. Find the surface area of the dry ice.
- The volume 8
The volume of a right regular hexagonal prism is 187.2 cubic millimeters. The line segment that has a length of 2.6 millimeters begins at the center of the hexagon and ends at one side of the hexagon. 3 mm base. Find the height. - A triangular prism
Find the number of faces, edges, and vertices of a triangular prism. - The cup
In a measuring cup set, the cup measure is 6 cm wide. The set also contains a 1-cup measure and a cup measure, both of which are similar in shape to the cup measure. Find the width of: a) 1/2 cup b) the 1 cup measure c) the 1/3 cup measure. - Storage shed
Frank designed a net for a storage shed that he is going to construct out of metal. The design consists of a square base and four square sides, plus four triangular parts that make up the roof. A square base of 6 feet and four square sides, plus 4 feet of - Height of the box The box needs to have a volume of 108 ¾ cubic inches. If its width is 7 ¼ inches and its depth is 1 ¼ inches, what must its height be?
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