# Find AB if the volume of a rectangular parallelepiped is 1088 cubic decimeters and a height of 17 centimeters

October 9, 2021 | education

| Let’s translate the volume of the figure into centimeters:

1088 dm³ = 1088000 cm³.

Let’s calculate what is the area of the base of the parallelepiped:

V = S main * h;

S main = V / H = 1088000/17 = 64000 cm².

Let’s write down in the form of a table examples of pairs of numbers that can be the sides of a rectangular base with an area of 64,000 cm².

AB (cm) AC (cm) S main (cm²) 10 6400 10 * 6400 = 64000 50 1280 50 * 1280 = 64000 100 640 100 * 640 = 64000 160 400 160 * 400 = 64000 200 320 200 * 320 = 64000 250 256 250 * 256 = 64000 320 200 320 * 200 = 64000 400 160 400 * 160 = 64000 500 128 500 * 128 = 64000 640 100 640 * 100 = 64000

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