Area + power - practice problems
Number of problems found: 90
Mohammed grew a garden last year. His plot of land was 6 3/4 feet by 10 feet. He wants to have twice as much area and his garden this year. How much area will the new garden take up?
- 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
- Two gardens
The flower garden has a square shape. The new garden has the shape of a rectangle, and one dimension is 8 m smaller, and the other is twice as large as in a square garden. What were the original garden dimensions and the new garden if both gardens' area i
- The length 2
The length of a rectangle is 12y² – 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.
- What is 10
What is the measure of the square side whose area is (4x² + 28x+49) square units?
- The cube
The cube has a surface of 600 cm². What is its volume?
- Cube V2S
The volume of the cube is 27 dm cubic. Calculate the surface of the cube.
- Extending square garden
Mrs. Petrová's garden had the shape of a square with a side length of 15 m. After its enlargement by 64 m² (square), it had the shape of a square again. How many meters has the length of each side of the garden been extended?
- Triangular prism
The triangular prism has a base in the shape of a right triangle, the legs of which is 9 cm and 40 cm long. The height of the prism is 20 cm. What is its volume cm³? And the surface cm²?
- Cube surfce2volume
Calculate the volume of the cube if its surface is 150 cm².
- 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.
- The cube
The cube has a surface area of 216 dm². Calculate: a) the content of one wall, b) edge length, c) cube volume.
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 cm³. Determine the surface of both the original and the magnified cube.
- Diameter = height
The cylinder's surface, the height of which is equal to the diameter of the base, is 4239 cm square. Calculate the cylinder volume.
- 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 cm² surface and a volume in cm³ expressed by the same number.
- Uboid volume
Calculate the cuboid volume if the walls are 30cm², 35cm², 42cm²
Area - practice problems. Power - practice problems.