Find the volume.

pleaseee help i'm struggling

9514 1404 393

  540 cm³

Step-by-step explanation:

The area of a parallelogram is the product of its length and height. The length of a slanted side is irrelevant. The only dimension that matters for determining area is the perpendicular distance between the edges you decide to call the "base."

In this figure, dimensions are given for the bottom (and top) parallelogram of the cuboid. The front (and back) edge is 15 cm long, and the perpendicular distance between them is shown as 3 cm.

So, the area of the bottom parallelogram is ...

  A = bh

  A = (15 cm)(3 cm) = 45 cm² . . . . area of the base parallelogram

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The volume of a prism is the product of its base area (B) and its height (h) perpendicular to the base. Here, the height is shown as 12 cm. We just computed the base area, so we can now find the volume as ...

  V = Bh

  V = (45 cm²)(12 cm) = 540 cm³

The volume of this prism is 540 cm³.

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