# Third power + area - math problems

#### Number of problems found: 37

- Mr Duma

Mr Duma recently inherited a rectangular plot, part of the estate left by his late father. The plot with the following dimensions: Length=2x+1;Width=x-1. Determine the formula, in terms of x, that best describes the area of the rectangular plot. He has pl - The length 2

The length of a rectangle is 12y^{2}– 15y + 8 and the width is 7y – 11. Find the area of the rectangle - Cube-shaped box

The cube-shaped box is filled to the brim with 2 liters of milk. Calculate the edge and surface of the box. - Cube V2S

The volume of the cube is 27 dm cubic. Calculate the surface of the cube. - Cube surfce2volume

Calculate the volume of the cube if its surface is 150 cm^{2}. - Cuboid to cube

A cuboid with dimensions of 9 cm, 6 cm, and 4 cm has the same volume as a cube. Calculate the surface of this cube. - Eight

Eight small Christmas balls with a radius of 1 cm have the same volume as one large Christmas ball. What has a bigger surface: eight small balls, or one big ball? - Magnified cube

If the lengths of the cube's edges are extended by 5 cm, its volume will increase by 485 cm^{3}. Determine the surface of both the original and the magnified cube. - Cardboard box

Peter had square cardboard. The length of the pages was an integer in decimetres. He cut four squares with a side of 3 dm from the corners and made a box out of it, which fit exactly 108 cubes with an edge 1 dm long. Julia cut four squares with a side of - The ball

The ball has a radius of 2m. What percentage of the surface and volume is another sphere whose radius is 20% larger? - Length of the edge

Find the length of the edge of a cube with a cm^{2}surface and a volume in cm^{3}expressed by the same number. - Right circular cone

The volume of a right circular cone is 5 liters. Calculate the volume of the two parts into which the cone is divided by a plane parallel to the base, one-third of the way down from the vertex to the base. - Calculate 3

Calculate the cube volume whose edge is 3x-1,3x-1,3x-1 - 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 - Big cube

Calculate the surface of the cube, which is composed of 64 small cubes with an edge 1 cm long. - 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? - Cube

One cube has an edge increased five times. How many times will larger it's surface area and volume? - 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.

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Third power - math problems. Area - math problems.