Find the volume of a rectangular parallelepiped with measurements of 28.2 cm, 30 cm and 25.5 cm

| February 6, 2021 | education

Find the volume of a rectangular parallelepiped with measurements of 28.2 cm, 30 cm and 25.5 cm and express it in cubic decimeters. b) Find the volume of a cube with an edge of 8 dm and express it in cubic meters.

a). To find the volume of a rectangular parallelepiped with measurements of 28.2 cm, 30 cm and 25.5 cm, we will use the formula for determining the volume of a rectangular parallelepiped V = a ∙ b ∙ c, where a is the length, b is the width, c is the height of the rectangular parallelepiped. Let’s substitute these values ​​of quantities and make calculations: V = 28.2 cm ∙ 30 cm ∙ 25.5 cm; V = 21573 cc cm. To express it in cubic decimeters, we define the volume of 1 cubic meter. dm cube cm: 1 cubic meter dm = 10 cm ∙ 10 cm ∙ 10 cm; 1 cubic meter dm = 1000 cubic meters cm, and 1 cube cm = 1/1000 cc dm, then 21573 cc. cm = 21.573 cc dm.
Answer: the volume of a rectangular parallelepiped is 21.573 cubic meters. dm.
b) To find the volume of a cube with an edge of 8 dm, use the formula to determine the volume of a cube; V = a³, where a is the length of the edge of the cube. Substitute this value and make calculations: V = (8 dm) ³, V = 512 cubic meters. dm. To express it in cubic meters, we define the volume of 1 cubic meter. m per cubic meter dm: 1 cubic meter m = 10 dm ∙ 10 dm ∙ 10 dm; 1 cubic meter m = 1000 cubic meters dm, and 1 cubic meter. dm = 1/1000 cubic meters m, then 512 cubic meters. dm = 0.512 cubic meters m.
Answer: the volume of the cube is 0.512 cubic meters. cm.



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