# Cube root + volume - math problems

#### Number of problems found: 67

- Cube surface and volume

The surface of the cube is 500 cm^{2}, how much cm^{3}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 cm^{3}. - 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 dm^{3}. - Seawater

Seawater has a density of 1025 kg/m^{3}, ice 920 kg/m^{3}. 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 cm^{2}. 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 cm^{3}. - Scale factor

A prism with a volume of 1458 mm^{3}is scaled down to a volume of 16mm^{3}. What is the scale factor in fraction form? - Body diagonal

The cuboid has a volume of 32 cm^{3}. 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 m^{3}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 cm^{2}? - Prism bases

Volume perpendicular quadrilateral prism is 360 cm^{3}. 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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