Volume of Prism Problems - page 3 of 21
Number of problems found: 416
- Prism base volume
A three-sided prism with a base in the shape of an equilateral triangle has a volume of 370 dm³. What is the volume of its base if it is 50 cm high? - Foundations dimensions
The house has foundations of 12x8 m. How many cubic meters of gravel do we need if we want to fill it to a depth of 10 cm? - Pit soil volume
The lime pit has the shape of a quadrilateral prism with dimensions of 2 m, 1.8 m, and 1.5 m Calculate the pile volume from the excavated soil, which, due to fluffing, is 20% larger than the volume of the pit. - Wall brick count
How many bricks are needed to build a wall that is 12 m long, 1.6 m high, and 47 cm wide if the dimensions of the brick are 30 x 15 x 7.5 cm and 5% of the wall volume is mortar? - Block volume ratio
The block surface is 5.632 m². The lengths of the edges are in the ratio 1: 2 : 3. Calculate the volume of the cuboid. - Prism volume surface
Calculate a prism's volume and surface area with a base of a right triangle with cantilevers of length 40 and 43 cm. The height of the prism is 60 cm. - Aquarium depth capacity
The aquarium is 0.7 m long and 25 cm wide. The battery is deep if it can hold no more than 87.5 liters of water. I need help understanding how to calculate this. - Puzzle wood density
The picture puzzle made of wooden cubes weighs 0.792 kg. One cube has an edge length of 4 cm and a weight of 33 grams. Find out how many cubes make up a puzzle and calculate the wood density in kg/m³. - Rectangle pool
The cube-shaped pool is 50 m long and 16 m wide. They poured 12,000 hl of water into it. Calculate the surface area of the pool that is wetted by water. - Triangle greenhouse
A greenhouse has the shape of a prism lying on its side wall. The base consists of a trapezoid and a triangle. The lower base of the trapezoid has a length of 3 m, the upper base (and the side of the triangle) has a length of 2 m, the height of the trapez - Prism volume edge
Calculate the volume of a regular triangular prism whose height is equal to the length of the base edge. Calculate the volume for the edge length a = 6 cm. - Trapezoid cross section
Calculate how many hectoliters of water can fit in a fifty-meter sloped pool; if the smallest depth is 1.2 m and the largest depth is 3 m, the width of the pool is 20 m. - Isosceles ditch
A ditch with a cross-section in the shape of an isosceles trapezoid with bases of 3 m and 5 m and arms of length 2 m is 2.5 meters deep and 10 meters long. How many cubic meters of soil did they have to excavate when digging it? - Hexagonal prism volume
A perpendicular hexagonal prism was created by machining a cube with an edge length of 8 cm. The base of the prism is created from the square wall of the original cube by separating 4 identical right triangles with overhangs of lengths 3 cm and 4 cm. The - Dimensions - pool
The swimming pool dimensions are as follows: l:w:h = 10:4:1. The pool can hold 625 m³ of water. Calculate how many square meters of tiles need to be purchased for lining the pool walls if we add 5% for waste. - Pool water hectoliters
How many hectoliters of water are in a rectangular prism-shaped pool if the top is 6 m wide, the bottom is 4 m wide, the pool is 2 m deep, and the pool is 12 m long? - Cuboid's diagonal
The cuboid has a body diagonal u=25 cm, and side b is one-third longer than side a. What is the volume of the cuboid? - Prism volume conversion
A wooden prism is 220 cm long, 10 cm high, and 10 cm wide. What is the conversion of its volume to m³? - Right rectangular prism
The right rectangular prism has a length of 3.2 feet, a width of 1.7 feet, and a height of 2.1 feet. What is its volume? 5.712 ft³ 7.54 ft³ 11.424 ft³ 31.46 ft³ - A cuboid 2
A cuboid with a depth of 4 cm but a length and width of x cm is cut out from one corner of the original cuboid as shown (the original cuboid has dimensions of 10x8x4 cm). The remaining shape has a volume of 199 cm³. Calculate the value of x.
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