Volume + area - practice problems - page 12 of 40
Number of problems found: 793
- Quadrilateral 40551
Find the volume and surface area of a regular quadrilateral pyramid ABCDV if its leading edge has a length a = 10 cm and a body height h = 12 cm. - Triangular prism
The regular triangular prism has a base edge of 8.6 dm and a height of 1.5 m. Find its volume and surface area. - The volume
The volume of the cone is 94.2 dm³, and the radius of the base is 6 dm. Calculate the surface of the cone. - Cube-shaped box
The cube-shaped box is filled to the brim with 2 liters of milk. Calculate the edge and surface of the box.
- Quadrilateral 39633
A regular quadrilateral pyramid is given: a = 27 mm, w = 21 mm (wall height). Calculate the height, volume, and surface area of the pyramid. - Pyramid of Giza
The Great Pyramid of Giza has the shape of a regular quadrangular pyramid. The base edge is 227 m long, and the pyramid is 140 m high. What is the weight of the stone needed to build this pyramid if the weight of 1 m³ of stone is 2.5 t? - Truncated pyramid
Find the volume and surface area of a regular quadrilateral truncated pyramid if base lengths a1 = 17 cm, a2 = 5 cm, and height v = 8 cm. - Truncated pyramid
Find the volume of a regular 4-sided truncated pyramid if a1 = 14 cm, a2 = 8 cm, and the angle that the side wall with the base is 42 degrees. - The resistance
What is the resistance of an aluminum wire, 0.2 km long and 10 mm in diameter?
- Statistical survey
Write TRUE OR FALSE for each question: 1 Standard deviation measures central location. 2. The most frequent observation in a data set is known as the mode. 3 The most passive method of data collection is observation. 4 Access time for secondary data is sh - The cylinder
In a rotating cylinder, it is given: the surface of the shell (without bases) S = 96 cm² and the volume V = 192 cm cubic. Calculate the radius and height of this cylinder. - Rotary cylinder
In the rotary cylinder it is given: surface S = 96 cm² and volume V = 192 cm cubic. Calculate its radius and height. - Cylindrical 38791
The cylindrical barrel is 1.2 m high, and the diameter of its base is 0.6 m. How many hectoliters of water will fit in the barrel? What is the smallest amount of sheet metal needed for its production? (we count both bases) - Pentagonal pyramid
The height of a regular pentagonal pyramid is as long as the edge of the base, 20 cm. Calculate the volume and surface area of the pyramid.
- Truncated cone
Find the volume and surface area of the truncated cone if r1 = 12 cm, r2 = 5 cm, and side s = 10 cm. - Calculate 38701
Calculate the surface and volume of the cut rotating cone with base radii of 14cm and 8cm height of 11cm. - Calculate 38073
1. Calculate the volume of a cube whose edge is 3.6 dm long. 2. Calculate the edge's size if you know its surface S = 2166 mm². - The pool
The pool is 25 meters long, 10 meters wide, and 1.5 meters deep. How many liters are needed to fill it completely? How much will the new floor and wall paneling cost if one m² costs 10 euros? - Cuboid - ratio
Find the volume of a block whose dimensions are in the ratio 2: 3: 4 and the surface is 117 dm².
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