Question

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Answer 1

320

Explanation:

The volume of a prism is the height times the area of the base.

V = hA

The base is a triangle. The volume of a triangle is half the base times height.

V = h (½ ab)

Given a = 10, b = 8, and h = 8:

V = ½ (8) (10) (8)

V = 320

Answer 2

320 cubic cm

Explanation:

To answer a prism volume question, also see it as a shape (in this case a triangle) that is very thick.

First step is to calculate the area of the shape. We all know the formula to calculate the area of a triangle: (b x h)/2. And we those two measures. The height of the triangle is b (8 cm), the base of the triangle is a (10 cm).

A = (b * h)/2 = (10 * 8) / 2 = 80 / 2 = 40 sq cm

Then we multiply the base area of the prism by its height to get the total volume. In this case, the height is also known, h = 8 cm.

V = b * h = 40 * 8 = 320 cubic cm