# Volume + square - math problems

#### Number of problems found: 177

- Digging a pit

The pit has the shape of a regular quadrilateral truncated pyramid. The edges of the bases are 14m and 10m long. The sidewalls form an angle of 135° with a smaller base. Determine how many m^{3}of soil were excavated when digging the pit? - Octagonal prism vase

0.7 l of water can be poured in an octagonal prism vase. What is the height of the vase, if the bottom has a area of 25 cm square and a thickness of 12 mm? - Cube V2S

The volume of the cube is 27 dm cubic. Calculate the surface of the cube. - Regular quadrilateral pyramid

What is the volume of a regular quadrilateral pyramid if its surface is 576 cm^{2}and the base edge is 16 cm? - Regular quadrilateral pyramid

What is the volume of a regular quadrilateral pyramid if the edge of the base is 8 cm long and the height of the side wall is 5 cm? - Water level

What is the area of the water level of the pool, if after filling 25 m^{3}of water level by 10 cm? a) 25 m^{2}b) 250 m^{2}c) 2500 dm^{2}d) 25,000 cm^{2} - Quadrilateral pyramid

In a regular quadrilateral pyramid, the height is 6.5 cm and the angle between the base and the side wall is 42°. Calculate the surface area and volume of the body. Round calculations to 1 decimal place. - Triangular prism

The triangular prism has a base in the shape of a right triangle, the legs of which is 9 cm and 40 cm long. The height of the prism is 20 cm. What is its volume cm^{3}? And the surface cm^{2}? - 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. - 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 - Shell area cy

The cylinder has a shell content of 300 cm square, while the height of the cylinder is 12 cm. Calculate the volume of this cylinder. - The cylinder

The cylinder has a surface area of 300 square meters, while the cylinder's height is 12 m. Calculate the volume of this cylinder. - Alcohol from potatoes

In the distillery, 10 hl of alcohol can make from 8 t of potatoes. The rectangular field with dimensions of 600 m and 200 m had a yield of 20 t of potatoes per hectare. How many square meters of area are potatoes grown to obtain one liter of alcohol? - 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. - 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. - Quadrilateral prism

The surface of the regular quadrilateral prism is 8800 cm^{2}, and the base edge is 20 cm long. Calculate the volume of the prism - The water tank

The water tank has the shape of a sphere with a radius of 2 m. How many liters of water will fit in the tank? How many kilograms of paint do we need to paint the tank, if we paint with 1 kg of paint 10 m^{2}? - Magnified cube

If the lengths of the cube's edges are extended by 5 cm, its volume will increase by 485 cm^{3}. Determine the surface of both the original and the magnified cube. - Runcated pyramid teapot

The 35 cm high teapot has the shape of a truncated pyramid with the length of the edge of the lower square base a=50 cm and with the edges of the rectangular base b: 20 cm and c: 30 cm. How many liters of water will fit in the teapot?

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