# Length + surface area - math problems

#### Number of problems found: 117

- Base side

In a quadrilateral prism, are known surface area S = 12400 mm^{2}base side m = 40mm and prism height = 120mm, what is the length of base side n =? - Right-angled triangle base

Find the volume and surface area of a triangular prism with a right-angled triangle base if the length of the prism base legs are 7.2 cm and 4.7 cm and the height of a prism is 24 cm. - Empty aquarium

How much does an empty aquarium weigh with dimensions: length = 40 cm, width = 30 cm, height = 20 cm, if 1 dm^{2}of glass weighs 300 g? Calculate its weight in kilograms. - Axial section

Calculate the volume and surface of a cone whose axial section is an equilateral triangle with side length a = 18cm. - The tetrahedron

Calculate the surface area and volume of a regular tetrahedron 4.9 cm high, the base edge has a length of 6 cm. - Base diagonal

In a regular 4-sided pyramid, the side edge forms an angle of 55° with the base's diagonal. The length of the side edge is eight meters. Calculate the surface area and volume of the pyramid. - Cuboid edges

The lengths of the cuboid edges are in the ratio 2: 3: 4. Find their length if you know that the surface of the cuboid is 468 m^{2}. - Flowerpot

The block-shaped flowerpot has external dimensions: length 1.25 m, width 10 cm, and height 11 cm. The thickness of the boards from which it is made is 0.8 cm. How many liters of soil is needed to fill it 1 cm below the top edge? What surface do we have to - Insulate house

The property owner wants to insulate his house. The house has these dimensions 12, and 12 m is 15 m high. The windows have 6 with dimensions 170 and 150 cm. Entrance doors are 250 and 170 cm in size. How many square meters of polystyrene does he need? - Cuboid diagonals

The cuboid has dimensions of 15, 20 and 40 cm. Calculate its volume and surface, the length of the body diagonal and the lengths of all three wall diagonals. - Quadrilateral prism

The height of a regular quadrilateral prism is v = 10 cm, the deviation of the body diagonal from the base is 60°. Determine the length of the base edges, the surface, and the volume of the prism. - Cone - from volume surface area

The volume of the rotating cone is 1,018.87 dm^{3}, and its height is 120 cm. What is the surface area of the cone? - Cone - side

Find the cone's surface area and volume if its height is 125 mm and the side length is 17 cm. - Truncated pyramid

The concrete pedestal in the shape of a regular quadrilateral truncated pyramid has a height of 12 cm, the pedestal edges have lengths of 2.4 and 1.6 dm. Calculate the surface of the base. - Water reservoir

What is the weight of a metal reservoir - cylinder with a diameter of 2 m and a length 8 m, if 1 m^{2}of sheet metal weighs 100 kg? - 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 cm^{2}b) 300 cm^{2}c) 3000 cm^{3}d) 300 cm^{3}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 - 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. - The cube

The cube has a surface area of 216 dm^{2}. Calculate: a) the content of one wall, b) edge length, c) cube volume. - Surface of pyramid

In a regular quadrilateral pyramid, the height of the sidewall is equal to the length of the edge of the base. The content of the sidewall is 32 cm^{2}. What is the surface of the pyramid? - Cutting the prism

A prism with a square base with a content of 1 cm^{2}and a height of 3 cm was cut from a cube with an edge length of 3 cm. What is the surface of the body formed from the cube after cutting the prism?

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Do you want to convert length units? Length - math problems. Examples for the calculation of the surface area of the solid object .