Volume + area of a shape - practice problems - page 7 of 24
Number of problems found: 465
- Constructing 67634
During the construction of a 140-meter-long gas pipeline, a pit with vertical walls 1.5 m deep and 1 m wide must be created. A) How many cubic meters of soil must be dug up? B) We spread the excavated soil evenly on a field with dimensions of 70 m and 120 - Rectangular 67604
The Horniakovs dug a pit for a cesspool in the shape of a cuboid with bottom dimensions of 40*40 dm and a depth of 350 cm. A) How many cubic meters of soil did they dig up? B) The excavated soil was evenly spread and pressed onto a rectangular area measur - Measuring 67484
We poured 3 liters of water into an empty aquarium measuring 30x20 cm and 25 cm high. What is the level? - Interested 67344
Monika measured the dimensions of two different milk cartons. One had dimensions of 9*5.8*19.6 cm, the other 9.4*6.3*17.3 cm. She wanted to see if less material was used to make a particular box. Check it out and find out what percentage of material is sa
- Milliliters 66834
The cube-shaped vase contains 320 ml of water, which reaches a height of 5 CM. How many milliliters of water can we pour into the vase, so the water does not run out? - Cylindrical 66744
How many liters will fit in a cylindrical container with a base area of 0.06 m² and a height of 5 cm? - Hexagonal 66574
The candle is made from wax in the shape of a regular hexagonal pyramid. It has a height of 6.5 cm and a length of the base edge of 3 cm. Find the volume of wax. - Right-angled 66364
From a rectangular board with 2 m and 3 m dimensions, we cut isosceles and right-angled triangles at the corners with an overhang of 40 cm. Calculate the ratio of the rest of the board's areas to its total original area. - Difference 66354
A circle is inscribed in a square with a side of 12 cm so that it touches all its sides. Calculate the difference between the area of the square and the circle.
- Right-angled 66344
From a square with a side of 4 cm, we cut four right-angled isosceles triangles with right angles at the square's vertices and with an overlap of √2 cm. We get an octagon. Calculate its perimeter if the area of the octagon is 14 cm². - Quadrilateral 66294
Calculate the surface and volume of a quadrilateral prism if given: the area of the base is 40 cm square, the bottom of the base is k = 8 cm, and the height of the prism is 1.3 dm (the bottom is a rectangle) - Perpendiculars 66274
The perpendiculars of a right triangle have lengths of 30 cm and 40 cm. What is the height of the triangle? - Circumference 66134
The isosceles trapezoid ABCD has an area of 36 cm². One of its bases is two times longer than the other. Height is 4 cm. Calculate the circumference of the trapezoid. - Centimeters 65884
The plastic bucket has the shape of a cylinder with a diameter of 25 cm and a height of 40 cm. How many square centimeters are needed to produce it? How many liters does it contain when filled 5 cm below the rim?
- Calculate 65804
Calculate the surface and volume of a rotating cone, the base of which has a diameter of 6 cm and its height of 4 cm. - Increase 65794
The area of the square is 36 cm². What will be the area of the square if we increase the length of a side by 25%? - Trapezoid 65644
In an isosceles trapezoid, the base ratio a / c = 9/7, arm b = 10 cm, height v = 8 cm. Calculate the area of the trapezoid in cm². - Calculate 65154
Each square of the net has an area of 25 mm². Calculate the area of the DEF triangle in cm². Express the result as a decimal number to three decimal places. - Substantial 65114
Calculate the volume of a regular triangular prism with a substantial edge length of 8 cm and a prism height of 17 cm.
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