Square (second power, quadratic) - math word problems - page 95 of 148

Number of problems found: 2958

Distance 6164
What is the area of a square when the distance between parallel lines is 6?
Rain
It rains at night. On 1 m² of the lake will drop 60 liters of water. How many cm will the lake level rise?
Horizontal watertank
We have a horizontal tank shaped like a rainwater cylinder, 3.45 m long and 1.7 m wide. Calculate how many liters of water is in first centimeters.
Surface area 6156
The area (surface of the shell) of the cube is 93 cm². What is the volume of the cube?
Calculate 6149
Find the area and perimeter of a square whose diagonal is 10 cm.
Equilateral triangle
Calculate the area of an equilateral triangle with a circumference of 72cm.
Calculate
Calculate the length of a side of the equilateral triangle with an area of 50cm².
Calculate 6144
Calculate in dm² the surface of a quad whose edges have 1.2 dm, 1.4 dm, and 2dm.
Quadrilateral 6138
What is the tent's height in the shape of a regular quadrilateral pyramid, whose volume is three dm³ and the base has an area of 6 dm²?
Prism + rhomboid
The prism-shaped vessel with a rhomboid base has one base diagonal of 10 cm and the edge of the base 14 cm. The edge of the base and the prism height are in a ratio of 2:5. How many liters of water is in the container when it is filled to four-fifths of t
Connections 6133
Gutters have the shape of half a cylinder. Their diameter is 16 cm, and the total length around the roof is 32.6 m. How many m² of sheet metal are needed to make them? Add 15% for connections and cleaning.
Dimensions 6130
The aquarium dimensions are in the ratio a: b: c = 5:2:4. 6600 cm² of glass was used for its production. How many liters of water will fit in the aquarium if it reaches 5 cm below its edge?
Calculate
Calculate the area cm² diamond with a side length of 9.8 cm and a height on the side of 5 cm.
Quadrilateral 6116
The area of a regular quadrilateral pyramid's mantle is equal to twice its base's area. Calculate the pyramid's surface if the length of the base edge is 20 dm.
Pool tiles
The pool is 25m long, 10m wide, and 160cm deep. How many m² of tiles will be needed on the walls and the pool? How many tiles are needed when one tile has a square shape with a 20cm side? How much does it cost when 1m² of tiles costs 258 Kc?
Determine 6112
Find how many columns will contain the inverse matrix to matrix C if matrix C contains nine elements.
Cube - surface and volume
How many times does the volume of a cube increase if its surface increases four times?
Map scale
The rectangular plot has a scale of 1:10000 and an area of 3 cm² on the map. What area does this plot have on a 1:5000 scale map?
Independent term
Find the term independent of x in the expansion of (4x³+1/2x)⁸
Curve and line
The equation of a curve C is y=2x² -8x+9, and the equation of a line L is x+ y=3 (1) Find the x coordinates of the points of intersection of L and C. (2) Show that one of these points is also the stationary point of C?

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