Area - high school - practice problems - page 24 of 36
Number of problems found: 709
- Surfaces 3793
The volumes of the two cubes are in the ratio of 27:8. What is the ratio of the surfaces of these cubes? - Sides ratio
Calculate the circumference of a triangle with area 84 cm² if a:b:c = 10:17:21 - The rectangle
The length and width of a rectangle are in the ratio of 5:2. Its length is 7.5 cm longer than its width. Find the area of the rectangle. Determine also its length and its width. - Regular quadrilateral pyramid
Find the volume and surface of a regular quadrilateral pyramid if the bottom edge is 45 cm long and the pyramid height is 7 cm.
- Trapezoid
trapezoid ABCD a = 35 m, b=28 m c = 11 m and d = 14 m. How to calculate its area? - Normal Distribution
GPAs are normally distributed at one college with a mean of 3.1 and a standard deviation of 0.4. What percentage of students at the college have a GPA between 2.7 and 3.5? - Triangular prism
The perpendicular triangular prism is a right triangle with a 5 cm leg. The prism's largest wall area is 130 cm2, and the body height is 10 cm. Calculate the body volume. - Whitewashed 3483
The pool is in the shape of a vertical prism with a bottom in the shape of an isosceles trapezoid with dimensions of the bases of the trapezoid 10m and 18m, and arms 7m are 2m deep. During spring cleaning, the bottom and walls of the pool must be whitewas - Perpendicular 3482
The lengths of the base legs are 7.2 cm and 4.7 cm, and the height of the prism is 24 cm. Calculate the volume and surface of a triangular perpendicular prism with the base of a right triangle.
- Church roof
The roof of the church tower has the shape of a regular tetrahedral pyramid with a base edge length of 5.4 meters and a height of 5 m. It was found that the 27% covering of the roof area needs to be corrected. What amount of material will be required? - Hexagonal prism 2
The regular hexagonal prism has a surface of 140 cm² and a height of 5 cm. Calculate its volume. - Pyramid in cube
In a cube with an edge 12 dm long, we have an inscribed pyramid with the apex at the center of the cube's upper wall. Calculate the volume and surface area of the pyramid. - The tent
The tent shape of a regular quadrilateral pyramid has a base edge length a = 2 m and a height v = 1.8 m. How many m² of cloth did we need to make the tent if we have to add 7% of the seams? How many m³ of air will be in the tent? - Cube walls
Find the volume and surface area of the cube if the area of one wall is 40 cm².
- Quadrangular prism
The regular quadrangular prism has a base edge of 7.1 cm and a side edge of 18.2 cm long. Calculate its volume and surface area. - Rotary bodies
The rotating cone and the rotary cylinder have the same volume of 180 cm³ and the same height, v = 15 cm. Which of these two bodies has a larger surface area? - trapezium 3428
Given is a trapezoid ABCD with bases AB, CD. Let K be side AB's midpoint, and point L be side CD's midpoint. The area of triangle ALB is 15 cm2, and the area of triangle DKC is 10 cm². Calculate the area of trapezium ABCD. - Sphere vs cube
How much % of the surface of a sphere of radius 12 cm is the surface of a cube inscribed in this sphere? - Wall height
Calculate the surface and volume of a regular quadrangular pyramid if side a = 6 cm and wall height v = 0.8dm.
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Area - math word problems. Examples for secondary school students.