The base of a prism is a right angled triangle with its two shorter sides are equal to 4cm and 8cm.The prism is 10cm long.

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To find the volume of the prism, we need to multiply the area of the base by the height of the prism.

First, let's find the area of the base, which is a right-angled triangle. The formula for the area of a triangle is:

Area = (base * height) / 2

In this case, the base of the triangle is 4 cm and the height is 8 cm. So:

Area = (4 * 8) / 2
= 32 / 2
= 16 cm²

Now that we have the area of the base, we can find the volume of the prism. The formula for the volume of a prism is:

Volume = Area of base * Height

In this case, the height of the prism is given as 10 cm. So:

Volume = 16 cm² * 10 cm
= 160 cm³

Therefore, the volume of the prism is 160 cubic centimeters.

I'm sure you can find the area A of a right triangle.

The volume of the prism is just

V = A*length

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