Power + area - practice problems
Number of problems found: 90
- The schoolyard
The schoolyard had the shape of a square with an 11m side. The yard has been enlarged by 75 m² and has a square shape again. How many meters was each side of the yard enlarged?
- The parabolic segment
The parabolic segment has a base a = 4 cm and a height v = 6 cm. Calculate the volume of the body that results from the rotation of this segment a) around its base b) around its axis.
- 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.
- The sides 2
The sides of a trapezoid are in the ratio 2:5:8:5. The trapezoid's area is 245. Find the height and the perimeter of the trapezoid.
- Cube surface and volume
The surface of the cube is 500 cm2, how much cm³ will be its volume?
- Calculate 3
Calculate the cube volume whose edge is 3x-1,3x-1,3x-1
- Area to volume
If the surface area of a cube is 486, find its volume.
- A tile
A tile setter is covering 5ft by 5ft square shower wall. Each tile covers 4 5/8in by 4 5/8in square. How many rows of tile are needed to reach 5ft? How many tiles are needed to cover 5ft by 5ft square
- Cube surface and volume
Find the surface of the cube with a volume of 27 dm³.
- AP RT triangle
The length of the sides of a right triangle forms an arithmetic progression, and the longer leg is 24 cm long. What are the perimeter and area?
- Quarter of a circle
Calculate the circumference of a quarter circle if its content is S = 314 cm².
- 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 the surface of the cube if its volume is 64 cm ^ 3.
- Big cube
Calculate the surface of the cube, which is composed of 64 small cubes with an edge 1 cm long.
- Surface area of the top
A cylinder is three times as high as it is wide. The length of the cylinder’s diagonal is 20 cm. Find the surface area of the top of the cylinder.
- Square area
Complete the table and then draw each square. Provide exact lengths. Describe any problems you have. Side Length Area Square 1 1 unit2 Square 2 2 units2 Square 3 4 units2
- Trapezoid 15
Area of trapezoid is 266. What value is x if bases b1 is 2x-3, b2 is 2x+1 and height h is x+4
- 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?
- Square vs rectangle
Square and rectangle have the same area contents. The length of the rectangle is 9 greater and width 6 less than side of the square. Calculate the side of a square.
Power - practice problems. Area - practice problems.