Square root - math word problems - page 38 of 70
Number of problems found: 1386
- Cable car
Find the elevation difference of the cable car when it rises by 67 per mille, and the rope length is 930 m. - A transmitter tower
A transmitter tower is 80 meters high and is stabilized to the ground by 4 steel cables anchored in the ground 60 meters from the base of the tower. Calculate how many meters of steel cable were needed to stabilize the transmitter tower. The steel cable u - Body surfaces
The cuboid's volume is 864 mm³. Its square base has the same area as the base of a quadrilateral prism, with dimensions 7cm and 9cm, the height of the base 4cm, and the height of the prism 15cm. Find the surfaces of both bodies. - Cincinnati
A map is placed on a coordinate grid. Cincinnati is located at (5,4), and San Diego is located at (-10, -3). How far apart is Cincinnati from San Diego on the map? Round to the nearest tenth. - A screen
A screen is 1680 x 1050 pixels. What are the coordinates (and size in pixels) of a central area which is exactly 33% of the screen size? - The ladder - RT
The ladder 16 feet reaches up 14 feet on a house wall. The 90-degree angle at the base of the house and wall. What are the other two angles or the length of the leg of the yard? - The pool - optimization
A block-shaped pool with a volume of 200 m³ is to be built in the recreation area. Its length should be 4 times the width, while the price of 1 m² of the pool bottom is 2 times cheaper than 1 m² of the pool wall. What dimensions must the pool have to make - Hyperbola equation
Find the hyperbola equation with the center of S [0; 0], passing through the points: A [5; 3] B [8; -10] - Cone Volume Surface Height
In the rotating cone = 100π S rotating cone = 90π v =? r =? - Triangular pyramid
What is the volume of a regular triangular pyramid with a side 3 cm long? - Completing square
Solve the quadratic equation: m²=4m+20 using completing the square method. - Cube Volume from Surface
The surface of the cube is 61.44 cm². Calculate its volume. - Verticall growth
The storm broke the vertically growing spruce at 8 meters above the ground. The top fell to the bottom 6 meters from the spruce base. Find the original height of the spruce. - Lampshade fabric calculation
Lampshade for the face of a truncated cone with a height of 20 cm. The upper diameter of the shade is 13 cm, the lower 36 cm, and the side forms an angle of 60 degrees with the lower diameter. At least how much fabric is needed to make this shade? - Tower Sheet Metal Coverage
The tower has the shape of a regular four-sided pyramid with a base edge of 0.8 m. The height of the tower is 1.2 meters. How many square meters of sheet metal is needed for coverage if we count eight percent for joints and overlap? - Cube surface and volume The surface of the cube is 500 cm². How much cm³ will its volume be?
- Tetrahedral pyramid
Calculate the surface S and the volume V of a regular tetrahedral pyramid with the base side a = 5 m and a body height of 14 m. - Ladder wall height
To what height does a 6.5 m long ladder leaning against a wall at a distance of 5.4 m reach? - Cup Diameter Ball Displacement
The mug has the shape of a cylinder with a height of 60.7 mm. There is two dl of water in it. If we dip a ball with a diameter of 40 cm into the water, the water will not overflow. What is the minimum diameter of the cup? - Rectangle Diagonal Length
The sides of the rectangle are in a ratio of 3:5. Its circumference is 48 cm. Calculate the length of its diagonal.
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