Area + power - practice problems - page 5 of 8
Number of problems found: 158
- A tile
A tile setter is covering a 5ft by 5ft square shower wall. Each tile covers 4 5/8in by 4 5/8in a 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 area 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 an area of 10 cm². Find the area of the or - Calculate
Calculate the surface of the cube if its volume is 64 cm³. - Big cube
Calculate the cube's surface, which is composed of 64 small cubes with an edge 1 cm long. - Identical 6406
The area of 90000 m² is divided into 36 identical squares. Find the length of the side of one square (in meters). - Measuring 6357
Determine the length of the edge of the cube, the surface of which is equal to 60% of the surface of a block measuring 7cm, 8cm, 6cm - Surface area 6156
The area (surface of the shell) of the cube is 93cm². What is the volume of the cube? - Sum of squares
The sum of squares above the sides of the rectangular triangle is 900 cm². Calculate the area of the square over the triangle's hypotenuse. - Moldings 5884
The worker bought a new carpet with moldings for the square office. The rails for this office cost CZK 1,500; 15 CZK per 1 m. How many m² does this office, in which six people work? - Isosceles 5666
In the isosceles trapezoid ABCD, calculate the missing side length "a" and its areas. Side b = d = 50 cm, c = 20 cm, height = 48 cm. - Decreases 5625
How much percent will the surface and volume of the cube decrease if the diagonal decreases by 10%? b) if the diagonal increases by 10%? - Calculate 5624
The cube has a surface area of 110.6 cm². Calculate the length of its edge. - Diagonals 5551
The cube has a wall area of 81 cm². Calculate the length of its edge, wall, and solid diagonals. - Surface area of the top
A cylinder is three times as high as it is wide. The length of the cylinder diagonal is 20 cm. Find the exact 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 - Calculate 4842
The area of the rotating cylinder shell is half the area of its surface. Calculate the surface of the cylinder if you know that the diagonal of the axial section is 5 cm.
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