# Cuboid + expression of a variable from the formula - practice problems

#### Number of problems found: 75

- A dumpster

A dumpster is shaped like a rectangular prism. It has a width of 8 feet, a height of 5 feet, and a volume of 880 cubic feet. What is the length of the dumpster? - Edges of the cuboid

Find the length of the edges of the cuboid, which has the following dimensions: width is 0.4 m; the height is 5.8 dm and the block can hold 81.2 liters of fluid. - 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, 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, the - Cuboid - ratio

Find the volume of a block whose dimensions are in the ratio 2: 3: 4 and the surface is 117 dm². - Surface of the cuboid

Find the surface of the cuboid if its edges have the dimensions a, 2/3a, 2a. - Edge c

Find the edge c of cuboid if an edge a = 20 mm, b = 30 mm and surface area S = 8000 mm². - Aquarium height

How high does the water in the aquarium reach, if there are 36 liters of water in it? The length of the aquarium is 60 cm and the width is 4 dm. - Water tank

300hl of water was filled into the tank 12 m long and 6 m wide. How high does it reach? - An example

An example is playfully for grade 6 from Math and I don't know how to explain it to my daughter when I don't want to use the calculator to calculate the cube root. Thus: A cuboid was made from a block of 16x18x48 mm of modeline. What will be the edge of t - Two rectangular boxes

Two rectangular boxes with dimensions of 5 cm, 8 cm, 10 cm, and 5 cm, 12 cm, 1 dm are to be replaced by a single cube box of the same cubic volume. Calculate its surface. - Cuboid and ratio

Find the dimensions of a cuboid having a volume of 810 cm³ if the lengths of its edges coming from the same vertex are in ratio 2: 3: 5 - Pool

How many hl of water is in a cuboid pool (a = 25m, b = 8m) if the area of the wetted walls is 279.2 m²? - 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? - Pebble

The aquarium with internal dimensions of the bottom 40 cm × 35 cm and a height of 30 cm is filled with two-thirds of water. Calculate how many millimeters the water level in the aquarium rises by dipping a pebble-shaped sphere with a diameter of 18 cm. - Water tank

What is the height of the cuboid-shaped tank with the bottom dimensions of 80 cm and 50 cm if the 480 liters of water reach 10 cm below the top? - 3rd dimension

The block has a surface of 42 dm² and its dimensions are 3 dm and 2 dm. What is the third dimension? - Hectoliters

How deep is the pool if there are 2025 hectoliters of water and the bottom dimensions are a = 15 meters b = 7.5 meters and the water level is up to 9/10 (nine-tenths) of height? - Minimum surface

Find the length, breadth, and height of the cuboid-shaped box with a minimum surface area, into which 50 cuboid-shaped blocks, each with length, breadth, and height equal to 4 cm, 3 cm, and 2 cm respectively, can be packed. - Cuboid walls

If the areas of three adjacent faces of a cuboid are 8 cm², 18 cm² and 25 cm². Find the volume of the cuboid. - The tank

The tank is full up to 4/5 of the total height and contains 240 hl of water. The area of the base is 6 square meters. What is the height of the tank?

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Cuboid practice problems. Expression of a variable from the formula - practice problems.