# Cube root + volume - math problems

#### Number of problems found: 67

• Cube surface and volume
The surface of the cube is 500 cm2, how much cm3 will be its volume?
• The volume 2
The volume of a cube is 27 cubic meters. Find the height of the cube.
• Cube diagonals
Calculate the length of the side and the diagonals of the cube with a volume of 27 cm3.
• Area to volume
If the surface area of a cube is 486, find its volume.
• Body diagonal
Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonal.
• Cube surface and volume
Find the surface of the cube with a volume of 27 dm3.
• Seawater
Seawater has a density of 1025 kg/m3, ice 920 kg/m3. 8 liters of seawater froze and created a cube. Calculate the size of the cube edge.
• 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.
• Pyramid cut
We cut the regular square pyramid with a parallel plane to the two parts (see figure). The volume of the smaller pyramid is 20% of the volume of the original one. The bottom of the base of the smaller pyramid has a content of 10 cm2. Find the area of the
• Calculate
Calculate the surface of the cube if its volume is 64 cm ^ 3.
• Cuboid edges in ratio
Cuboid edges lengths are in ratio 2:4:6. Calculate their lengths if you know that the cuboid volume is 24576 cm3.
• Scale factor
A prism with a volume of 1458 mm3 is scaled down to a volume of 16mm3. What is the scale factor in fraction form?
• Body diagonal
The cuboid has a volume of 32 cm3. Its side surface area is double as one of the square bases. What is the length of the body diagonal?
• Tower model
Tower height is 300 meters, weight 8000 tons. How high is the model of the tower's weight of 1 kg? (State the result in the centimeters). The model is made from exactly the same material as the original no numbers need to be rounded. A result is a three-d
• Rectangle pool
Find dimensions of an open pool with a square bottom with a capacity of 32 m3 to have painted/bricked walls with the least amount of material.
• Area of a cube
Calculate the surface area of a cube if its volume is equal to 729 cubic meters.
• Volume and area
What is the volume of a cube which has an area of 361 cm2?
• Prism bases
Volume perpendicular quadrilateral prism is 360 cm3. The edges of the base and height of the prism are in the ratio 5:4:2. Determine the area of the base and walls of the prism.
• The cube
The cube has a surface area of 486 m ^ 2. Calculate its volume.
• The cube
The surface of the cube is 150 square centimeters. Calculate: a- the content of its walls b - the length of its edges c - its volume

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