Cuboid + expression of a variable from the formula - practice problems - page 9 of 10
Number of problems found: 181
- Dimensions 13671
How high does a prism with the dimensions of the base 1.7 dm and 5 dm reach if it fits 1032 dm³? - Surface 67004
A block with a square base with an edge length of 4 dm has a surface area of 112 dm square. Find its height. - Quadrilateral 24541
There are 50 liters of water in a filled container in the shape of a regular quadrilateral prism. Determine the height of the water if the edge of the base a = 25 cm. - A box
A box is 15 centimeters long, 4 centimeters wide, and 3 centimeters tall. What is the diagonal S of the bottom side? What is the length of the body diagonal R?
- Calculate 82458
Calculate the volume of a cube with a wall diagonal of u = 20 cm. - The block
The block has dimensions of 5 cm, 10 cm, and 15 cm. Calculate the size of the wall diagonals of this block. - Dimensions 81850
We used the same amount of paint to paint a cuboid with dimensions of 10 cm, 15 cm, and 3 cm to paint the shell of a cone whose radius is 8 cm. How tall is this cone? Calculate its volume in liters. - Block-shaped 7976
A block-shaped pool with a volume of 200m³ is to be built in the recreation area. Its length should be 4 times the width, while the price of 1 m² of the pool bottom is 2 times cheaper than 1 m² of the pool wall. What dimensions must the pool have to make - Cube-shaped container
The cube-shaped container has a height of 52 cm and a square base. The container was filled to the brim with water, and then we immersed a metal cube in it, which caused 2.7 l of water to flow out of the container. After removing the cube from the water,
- Wooden container
The locksmith should cover the cube-shaped wooden container with a metal sheet inside. The outer edge of the container is 54cm. The wall thickness is 25 mm. The container has no lid. Calculate. How many sheets will be needed to cover it? - Surface of cubes
Peter molded a cuboid of 2 cm, 4cm, and 9cm of plasticine. Then the plasticine was split into two parts in a ratio of 1:8. From each piece made, a cube. In what ratio are the surfaces of these cubes? - Calculate 6275
A block with edges of lengths of 10 cm and 8 cm has the same volume as a cube with an edge of the length of 1 dm. Calculate the third dimension of the block. Compare the ratio of the surfaces of both bodies. - Pebble
The aquarium is filled with two-thirds water with internal dimensions of the bottom 40 cm × 35 cm and a height of 30 cm. Calculate how many millimeters the water level in the aquarium rises by dipping a pebble-shaped sphere with a diameter of 18 cm. - Cuboid edges in ratio
Cuboid edge lengths are in ratio 2:4:6. Calculate their lengths if you know that the cuboid volume is 24576 cm³.
- Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm³. What is the area of the surface of the prism? - Percentage 66684
Prism with square base a=25cm, height h=45cm. cube: b=15cm a) what percentage of the volume of the prism is the volume of the cube? b) what height should the prism have to have the same volume as the cube? - Volumes 24771
The block and the cube have the same volumes = 216 cm³. The block has side lengths of b = 4 cm, c = 9 cm. Can they have the same side? - Calculate 26051
The base of the prism has the shape of a square with a side of 10 cm. The height of the prism is 20 cm. Calculate the height of a pyramid with a square base of 10 cm, which has four times the prism's volume. - Regular square prism
The volume of a regular square prism is 192 cm³. The size of its base edge and the body height is 1:3. Calculate the surface of the prism.
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