The volume of prism problems
Number of problems found: 408
- Prism - base and height
Find volume of the prism if the base area equals 20 inches² with the height is 12 inches.
- Building blocks
Rosa bought a set of building blocks for her younger brother, Owen, for his birthday. Owen opened the gift and immediately used all 35 blocks in the set to build a tower shaped like a rectangular prism. Each block is a cube that is 1 1/2 inches along each
- Tomato plant
Bruce's grandmother loves to use fresh tomatoes in her homemade pasta sauce. Bruce thought she might like to grow her own, so he bought her a planter box and a tomato plant. The planter box is shaped like a rectangular prism. It is 12 1/2 inches long, 10
- The volume 8
The volume of a right regular hexagonal prism is 187.2 cubic millimeters. The line segment that has a length of 2.6 millimeters begins at the center of the hexagon and ends at one side of the hexagon. 3 mm base. Find the height.
- Water 66
Water flows from a tap into a rectangular tank that measures 64cm by 36cm by 45cm. At 8 p. m., it is 1/4 filled with water. At 9 p. m., it is filled with 69,120 cm³ of water. Find the volume of water that has flowed into the tank from 8 p. m. to 9 p. m. G
- Hexagon, hexa S, V
What is the surface area and volume of a regular hexagonal prism with a base edge of 12cm and a height of the prism equal to the diameter of the circle circumscribed by the base?
- Ice + water
A rectangular ice rink measuring 60 m by 30 m had a layer of ice 3 cm high. How many liters of water were used to create the ice?
- Base RR odd
The base of the prism is an isosceles trapezoid ABCD with bases AB = 12 cm, and CD = 9 cm. The angle at vertex B is 48° 10'. Determine the volume and area of the prism if its height is 35 cm.
- Tank 30
A water tank has the shape of a cuboid with a square shape with a side of 2m. The depth of the tank is 3m. How many more liters of water can fit in the tank if both its base edges are increased by 1m and the tank is deepened by half a meter?
- Pillar 4
The pillar is 10 meters high. The edge is 90 cm. How many bricks are needed to build it? 1 brick has a volume of 1.2 dm³.
- Regular 4BH
A regular quadrilateral prism has a volume of 864 cm³ and the area of its surface is twice the area of its base. Determine the size of its body diagonal.
- Hollow block
A hollow block is a prism with dimensions a = b = 29 cm, v = 15 cm. The wall thickness is 4.5 cm. What percent of the volume of the block in masonry is its cavity?
- DEnsity of a cuboid
What is the density of a building board in the shape of a cuboid with dimensions 1 m, 20 cm, and 20 cm, if its mass is 84 kg?
- Truck bed
Calculate how many trucks can transport grain from the combine hopper, which is a quadrilateral with a rhombus base with sides of 13dm and 2.8m and a height of 200 cm to the longest side. The hopper is 200 cm long. The truck bed is a cuboid with sides of
- Groundwater
The groundwater for collecting rainwater has the shape of a prism with trapezoidal bases a=5 m, c=7 m, 4 meters apart. The depth of the tank is 3 meters. How many hectoliters of water can it hold at most if 8% of its volume is taken up by the pump and pip
- Sand pedestal
The pedestal under the giant billboard is a prism-shaped steel plate structure filled with sand. How much sand will it fit, and what is the area of the plates used? We can neglect their thickness. The dimensions are 1m*4m*90cm.
- Assume
Two naughty boys broke the glass on the front door. The glass was 105 cm, 150 cm, and 6 mm thick. They decided to buy the glass from their savings and, since they assumed that it would not weigh more than 12 kg, they would bring it and ask the caretaker t
- Isosceles weight
A designer weight is made from a glass cube by cutting a three-sided prism with an isosceles triangle base that is right-angled and whose arm is half the length of the cube edge. What percentage of the cube is cut off when making the weight?
- Cubes in a box
We have to fill a box 50 cm long, 25 cm wide, and 10 cm high with cubes with 5 cm edges. How many cubes will we need to fill the box?
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