# Area - 7th grade (12y) - math problems

#### Number of problems found: 461

- The ABCD

The ABCD trapezoid has a base length of a = 120mm, c = 86mm and an area of S = 2575 mm^{2}. Calculate the height of the trapezoid. - The cube

The cube has a surface of 600 cm^{2}. What is its volume? - Square gardens

The gardening colony with dimensions of 180 m and 300 m is to be completely divided into equally large square areas with the largest possible area. Calculate how many such square areas can be obtained and determine the side length of the square. - Gardens

The area of the square garden is 3/4 of the area of the triangular garden with sides of 80 m, 50 m, 50 m. How many meters of the fence do we need to fence a square garden? - Isosceles trapezoid

Find the area of an isosceles trapezoid with bases of 8cm and 72mm. The height of the trapezoid is equal to three-quarters of the longer base. - Six painters

Six painters paint an area of 120 m^{2}in 4 hours. How long does it take for 12 painters to paint 480 m^{2}with the same performance? - Edge c

Find the edge c of cuboid if an edge a = 20 mm, b = 30 mm and surface area S = 8000 mm^{2}. - Cube V2S

The volume of the cube is 27 dm cubic. Calculate the surface of the cube. - Hectares

Determine the area of the rectangular land (in ha), which has dimensions of 3 cm and 4.5 cm on the plan with a scale of 1: 40,000. - Extending square garden

Mrs. Petrová's garden had the shape of a square with a side length of 15 m. After its enlargement by 64 m^{2}(square), it had the shape of a square again. How many meters has the length of each side of the garden been extended? - Height

The content of the triangle is 35 cm^{2}. The length of the base is 10 cm. Determine the length of the height on the base. - Two walls

Calculate the surface area of a cube in m^{2}if you know that the area of its two walls is 72 dm^{2}. - Cylinder container

The cylindrical container with a diameter of 1.8 m contains 2,000 liters of water. How high does the water reach? - The trench

Calculate how many cubic meters of soil needs to be removed from the excavation in the shape of an isosceles trapezoid, the top width is 3 meters, the lower width is 1.8 m, the depth of the excavation is 1 m, and the length is 20 m. - Largest wall

Find the content of the largest wall of a prism with a rectangle base with a height of 4 dm, side c = 5 cm, and side b = 6 cm. - Quadrilateral prism

Calculate the surface of a quadrilateral prism according to the input: Area of the diamond base S1 = 2.8 m^{2}, length of the base edge a = 14 dm, height of the prism 1,500 mm. - Twice of radius

How many times does the surface of a sphere decrease if we reduce its radius twice? - Cube surfce2volume

Calculate the volume of the cube if its surface is 150 cm^{2}. - Cuboid to cube

A cuboid with dimensions of 9 cm, 6 cm, and 4 cm has the same volume as a cube. Calculate the surface of this cube. - Surface and volume

Find the surface and volume of a cuboid whose dimensions are 1 m, 50 cm, and 6 dm.

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Area - math problems. Examples for 7th grade (seventh).