Geometry - practice problems - page 4 of 157
Number of problems found: 3135
- A hemispherical
A hemispherical bowl has a radius of 3.5 cm. What would be the volume of water it would contain?
- A provision
John had provisions for a certain number of days. After 10 days 1/5 of the men desert and he is found that the provisions will now last just as long as before. How long was that?
- Toy Store
Beezlebum's Toy Store can't keep its stackable block set in stock! The blocks completely fill a box shaped like a rectangular prism that is 14 inches long, 14 inches wide, and 21 inches tall. The cube-shaped blocks in the set are 3.5 inches along each edg
- A cube 2
A cube has an edge length of 4 cm. Then its volume is:
- The size 3
The size of a wooden block is 15cm × 12cm × 20cm. How many such blocks will be required to construct a solid wooden cube of minimum size?
- The volume 7
The volume of a cylindrical can is 75.36 in³. The diameter is 4 inches. Find the height. Use 3.14 as an estimation for pi.
- A rectangular 9
A rectangular tank measuring 50 cm by 54 cm by 40 cm is 3/5 filled with water. 21.6L of the water is removed. What is the volume of water left in the tank? Give your answer in liters.
- Cylinders and cube
How many cylinders of radius 20 cms and height 0.7 metres can be formed by melting a cube of 2.2 metres sides?
- Januka
Januka 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
- Double sides
If each side of a triangle is doubled, then find the ratio of the area of the new triangle thus formed to the given triangle.
- The angles 6
If the angles of a triangle are in the ratio 2 : 3: 4. Find the value of each angle.
- 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
- 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?
- 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?
- Two similar 2
Two similar polygons have corresponding sides 15 inches and 6 inches. If the area of the first is 2700 square inches, what is the area of the second?
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