Volume - math word problems - page 61 of 126
Number of problems found: 2517
- Runcated pyramid teapot
The 35 cm high teapot has the shape of a truncated pyramid with the length of the edge of the lower square base a=50 cm and the edges of the rectangular base b: 20 cm and c: 30 cm. How many liters of water will fit in the teapot? - Cube diagonal calculation
Calculate the length of the wall diagonal of a cube with a volume of 7.40 square meters. Express the result to the nearest millimeter. - Hectoliters of water
There are 942 hectoliters of water in a cylindrical tank with an inner diameter of 6 m. The water reaches two-thirds of the tank's depth. Calculate its depth. - Container diameter calculation
The cylindrical container is completely filled and contains 62.8 liters of water. It is half a meter high. Calculate the bottom diameter. - Body diagonal
Calculate the surface area, volume, and length of the body diagonal of a cube with an edge length of 4 dm. - Lead ball
What is the weight of a lead ball with a diameter of 3 cm if the density of lead is 11340 kg/m cubic? - Quadrilateral prism
Calculate the volume of a quadrilateral prism whose base is an isosceles trapezoid with bases 10 cm and 4 cm, 6 cm apart. The height of the prism is 25 cm. How could the surface area be calculated? - Prism height calculation
A regular triangular prism with a base edge of 35 cm has a volume of 22.28 l. Calculate its height. - Calculate cylinder There is a cylinder with a base radius of 3 cm and a height of 12 cm. Calculate: a) cylinder surface b) cylinder volume
- Tent air volume
The tent's floor consists of a square with a side of 2.4 m, and the front and back wall is an isosceles triangle with a height of 1.6 m. Calculate the volume of air in the tent in liters. (Laid triangular prism.) - Pentagonal prism
The regular pentagonal prism is 10 cm high. The radius of the circle of the described base is 8 cm. Calculate the volume and surface area of the prism. - Quadrilateral pyramid
Calculate the volume of a regular quadrilateral pyramid, which has the size of the base edge a = 12 cm and a height of 11 cm. - Cylinder material waste
A cylinder with the maximum possible base was ground from a wooden regular quadrilateral prism (edge 2.8 cm, height 7.5 cm). What percentage of the material was wasted as waste? What percentage would it be if the height of the prism were twice as large? - Prism height calculation
Calculate the height of a regular quadrilateral prism whose base is a rhombus. The edge in the base is 7 cm long, the opposite edges are 5 cm apart, and we also know that the entire body has a volume of 1dm³. - Waste bin
The cube-shaped potato peel waste bin is 80 cm high. How many liters of waste can we put into it if we know that the dimensions of the base are 40 cm and 50 cm, the basket is already full to exactly half its height, and as soon as the waste reaches the li - Block diagonal calculation
The volume of the block is 144 cm³. The base measures 3 cm and 4 cm. How big is the body diagonal? - Cylinder diameter calculation Calculate the diameter of a cylinder 7.5 dm high with a volume of 0.6 hl. Express the result to the nearest centimeter.
- Identical cubes
From the smallest number of identical cubes whose edge length is expressed by a natural number, can we build a block with dimensions 12dm x 16dm x 20dm? - Prism volume calculation
The prism with a diamond base has one base diagonal of 20 cm and a base edge of 26 cm. The edge of the base is 2:3 to the height of the prism. Calculate the volume of the prism. - Box and cubes
We have a box with dimensions of 20cm, 16cm, and 8cm. How many cubes can fit in it if the cube has a size of 4cm?
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