Area - math word problems - page 110 of 156
Number of problems found: 3109
- Quadrangular pyramid
Calculate the surface area and volume of a regular quadrangular pyramid: sides of bases (bottom, top): a1 = 18 cm, a2 = 6cm angle α = 60 ° (Angle α is the angle between the sidewall and the base plane.) S =? , V =?
- Cube edges
Find the cube edge length (in centimeters) that has a surface and volume expressed by the same numeric value. Draw this cube in a ratio of 1:2.
- Centimeters 5533
Calculate the area of one cube wall and the wall diagonal of a cube if its volume equals 1728 cubic centimeters.
- House extension
Igor is going to build an extension. He has 3 perimeter load-bearing walls, 9.1 m, 6.5 m, and 10 m long. 3 m high. There are two windows: 2 m x 1.5 m. How many blocks measuring 500x250x375 mm should be used to build a wall 375 mm thick? How many pallets a
- Parallelogram 5509
The parallelogram has a side 6 cm long, and the height on this side is 4 cm long. What is the height of an isosceles triangle with a base 6 cm long and the same area?
- Calculate 5499
Calculate the area of the circle, which is described by a square with a side length of 7.5 cm.
- Circumference 5493
By what percentage will the area of a square decrease if its circumference decreases by 17 percent?
- Dimensions 5490
The garden has the shape of a rectangle with dimensions of 32m and 29m. We must fence it all off, except for the entrance gate, which will be 4 m long. What is the size of the garden?
- Ratio-cuboid
The lengths of the edges of the cuboid are in the ratio 2:3:6. Its body diagonal is 14 cm long. Calculate the volume and surface area of the cuboid.
- Squares 5479
Draw two stone squares. They have a total of 34 stones. What edges do the squares have?
- Cylinder horizontally
The cylinder with a diameter of 3 m and a height/length of 15 m is laid horizontally. Water is poured into it, reaching a height of 60 cm below the cylinder's axis. How many hectoliters of water is in the cylinder?
- Three cubes
The body was created by gluing three identical cubes. Its volume is 192 cm³. What is its surface in dm²?
- Occupies 5461
What is the land area in reality if 1 cm² occupies a 1:20000 scale map?
- Rectangle 39
Find the perimeter and area of the rectangular with vertices (-1, 4), (0,4), (0, -1), and (-4, 4)
- Circle simple
The circumference of a circle is 6.28. What is the area of the circle?
- Inscribed circle
The circle inscribed in a triangle has a radius of 3 cm. Express the area of the triangle using a, b, and c.
- Perpendicular 5424
A regular perpendicular quadrilateral prism with a base edge of 10 cm has a volume of 10 dm³. What is the height of this prism?
- 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.
- triangle 5420
Two pairs of parallel lines, AB to CD and AC to BD, are given. Point E lies on the line BD, point F is the midpoint of the segment BD, point G is the midpoint of the segment CD, and the area of the triangle ACE is 20 cm². Determine the area of triangl
- Calculate 5416
The walls, which are in the shape of a square with a side of 24 km, are 107 m high and 27 m wide. Calculate their perimeter and area.
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