Square (second power, quadratic) - math word problems - page 62 of 149
Number of problems found: 2962
- Truncated cone 6
Calculate the volume of the truncated cone whose bases consist of an inscribed circle and a circle circumscribed to the opposite sides of the cube with the edge length a=1. - Derivative problem
The sum of two numbers is 12. Find these numbers if: a) The sum of their third powers is minimal. b) The product of one with the cube of the other is maximal. c) Both are positive, and the product of one with the other power of the other is maximal. - Four prisms
Question No. 1: The prism has the dimensions a = 2.5 cm, b = 100 mm, c = 12 cm. What is its volume? a) 3000 cm² b) 300 cm² c) 3000 cm³ d) 300 cm³ Question No.2: The prism base is a rhombus with a side length of 30 cm and a height of 27 cm. The height of t - Roots and coefficient
In the equation 2x² + bx-9 = 0 is one root x1 = -3/2. Determine the second root and the coefficient b. - Cube-shaped 28101
How many square decimetres of sheet metal are needed for a cube-shaped tank, open at the top with an edge of 75 cm? - Two walls
Calculate the surface area of a cube in m² if you know that the area of its two walls is 72 dm². - Flower boxes
How many m² of 10mm thick boards are needed to make 12 flower boxes? The boxes' dimensions are 180, 150, and 1500 mm. - Integer sides
A right triangle with an integer length of two sides has one leg √11 long. How long is its longest side? - Equilateral cone
We pour so much water into a container with the shape of an equilateral cone, the base of which has a radius r = 6 cm, that one-third of the volume of the cone is filled. How high will the water reach if we turn the cone upside down? - Rectangular flowerbed
The park has a rectangular flowerbed measuring 10 m and 200 cm. How many rose bushes do we plant in the flowerbed if 25 dm² are needed per bush? - Isosceles 27793
The LICH isosceles trapezoid has 5.2 cm long arms and its bases are 7.6 cm and 3.6 cm long. Find the area of the LICH trapezoid. - Cylindrical 27733
The cylindrical silo has a diameter of 4 m and a height of 7 m. For how many square meters is it necessary to buy paint to paint against corrosion (we paint the silo only from the outside)? - Fountain
The stone fountain, which has the shape of a cylinder with a diameter of 3 m, is 70 cm deep. How many m² of stone is wetted with water? - Diameter 27703
The road roller has a diameter of 0.81 m and a width of 154 cm. How many m² of the road will it level when it turns 37 times? - Right-angled triangle
The right-angled triangle XYZ is similar to the triangle ABC, which has a right angle at the vertex X. The following applies: side a = 9 cm, x=4 cm, x = v-4 (v = height of triangle ABC). Calculate the unknown side lengths of both triangles. - Intersections 3
Find the intersections of the circles x² + y² + 6 x - 10 y + 9 = 0 and x² + y² + 18 x + 4 y + 21 = 0 - Four-sided 27601
The house's roof has the shape of a regular four-sided pyramid 4 m high with a base edge of 100 dm. We consider 30% of the roofing in addition to the overlap. Calculate how much m² of roofing is needed to cover the roof. - Filling the pool
How many liters of water must be poured into a pool 25m long, 800cm wide, and 20m deep? The pool should be filled to 3/4 of its depth. How many euros will you pay for pool tiling, and a square meter of tiling costs 20 euros? - Circumference 27581
The rotating cone has a base circumference of 62.8 cm. And a height of 0.7 dm. Calculate its surface area and volume. - Sailboat
The 20 m long sailboat has an 8 m high mast in the middle of the deck. The top of the mast is fixed to the bow and stern with a steel cable. Determine how much cable is needed to secure the mast and what angle the cable will make with the ship's deck.
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