Volume of Prism Problems
Number of problems found: 409
- Shipping problem
Paul works in the shipping department of a toy company. He sends toys in boxes, each in the shape of a rectangular prism with whole-number dimensions in inches. Paul needs a box with a total volume of 24 cubic inches. Find one possible combination of leng - Prism - base and height
Find the volume of a prism if the base area equals 20 in² and 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 64 cm by 36 cm by 45 cm. 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 - Calculate 258
Calculate the volume and surface area of a prism with a trapezoidal base and a height of 9 cm. The base is an isosceles trapezoid with parallel sides of 3 cm and 6 cm, legs of 2.5 cm, and a height of 2 cm. - Hexagon, hexa S, V
What is the surface area and volume of a regular hexagonal prism with a base edge of 12 cm and a height equal to the diameter of the circle circumscribed about the base? - Ice + water
A rectangular ice rink measuring 60 m × 30 m had a layer of ice 3 cm thick. How many litres of water were used to create the ice? - Base RR odd
The base of a 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 surface area of the prism if its height is 35 cm. - Tank 30
A water tank has the shape of a cuboid with a square base of side 2 m and a depth of 3 m. How many more litres of water can the tank hold if both base edges are increased by 1 m and the tank is deepened by half a metre? - Pillar 4
A square prism pillar is 10 metres high with a base edge of 90 cm. How many bricks are needed to build it if 1 brick has a volume of 1.2 dm³? - Regular 4BH
A regular quadrilateral prism has a volume of 864 cm³ and its total surface area is twice the area of its base. Determine the length of its space diagonal. - Hollow block
A hollow block is a prism with base dimensions a = b = 29 cm and height v = 15 cm. The wall thickness is 4.5 cm. What percentage of the block's volume 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 × 20 cm, if its mass is 84 kg? - Truck bed
Calculate how many truckloads are needed to transport grain from the combine hopper. The hopper is a prism with a rhombus-shaped base with sides of 13 dm and a height of 2.8 m to the longest side. The hopper is 200 cm long. The truck bed is a cuboid with - Groundwater
A rainwater collection tank has the shape of a prism with trapezoidal cross-section, with parallel sides a = 5 m and c = 7 m, which are 4 metres apart. The depth of the tank is 3 metres. How many hectolitres of water can it hold at most if 8% of its volum - 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 1 m*4 m*90 cm. - Assume
Two naughty boys broke the glass in a front door. The glass measured 105 cm × 150 cm and was 6 mm thick. They decided to pay for the glass from their savings and, assuming it would weigh no more than 12 kg, planned to carry it and ask the caretaker to ins - Isosceles weight
A designer weight is made from a glass cube by cutting off a triangular prism with an isosceles right-triangle base, where the legs of the triangle are each half the length of the cube's edge. What percentage of the cube is removed when making the weight?
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