Area - math word problems - page 156 of 161
Number of problems found: 3206
- Area of RT
A right triangle has segments on the hypotenuse (created by the altitude) of lengths 15 cm and 9 cm. Determine the area of this triangle. - Square 2
Points D[10,-8] and B[1,-10] are opposite vertices of square ABCD. Calculate the area of square ABCD. - Square
Points A[9,9] and B[-4,1] are adjacent vertices of square ABCD. Calculate the area of square ABCD. - Cubes
A sphere is inscribed in one cube and the same sphere is circumscribed about another cube. Calculate the difference between the volumes of the two cubes if the difference between their surface areas is 231 cm². - Cone A2V
The lateral surface of a cone, when unrolled flat, forms a circular sector with a central angle of 126° and an area of 415 cm². Calculate the volume of the cone. - Axial section
The axial cross-section of a cone is an equilateral triangle with an area of 208 km². Calculate the volume of the cone. - Rotation
A right triangle with legs 11 cm and 18 cm is rotated around the longer leg. Calculate the volume and surface area of the cone formed. - Right isosceles
Calculate the area of an isosceles right triangle whose perimeter is 26 cm. - Euclid3
Calculate the height and sides of the right triangle if one leg is a = 100 km and the section of hypotenuse adjacent to the second leg cb = 14 km. - Pyramid roof
3/5 of the lateral surface area of a regular quadrilateral pyramid with base edge 9 m and height 6 m has already been covered with roofing. How many square metres still need to be covered? - Right triangle
Right triangle ABC has side a = 10 and area S = 50. Calculate the lengths of the remaining sides. - Numbers
Determine the count of all positive integers less than 4064028 that are divisible by 5, 23, 2. What is their sum? - Circles
The areas of two circles are in the ratio 5:10. The larger circle has a diameter of 14. Calculate the radius of the smaller circle. - Pentagon
Calculate the area of a regular pentagon whose diagonal has length u = 18. - Tinsmith
A tinsmith constructs a chimney pipe 186 cm long and 16 cm in diameter. The pipe is made from a flat sheet with an overlap of $x cm at the seam. What dimensions must the sheet have? - Cubes
The surface areas of two cubes, whose edges differ by 42 cm, differ by 16128 cm². Determine the edge length of each cube. - Resistors
Two resistors connected in parallel give a combined resistance of $R1 Ω, and connected in series give a combined resistance of $R2 Ω. Determine the resistance of each resistor. - Rail turn
The curve radius on a railway line is 532 m. The length of the rail track along this curve is 818 m. What is the angle ASB in degrees, where A and B are the endpoints of the curve and S is the centre of the arc? - R triangle
Calculate the area of a right triangle whose longer leg is 7 dm shorter than the hypotenuse and 10 dm longer than the shorter leg. - Triangle
Calculate the area of right triangle ΔABC if one leg has length 12 and the angle opposite to it is 47°.
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