Answered

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2. How is the volume of a prism calculated?

A. Area of the prism's base Ă— height of the prism

B. Area of the prism's face Ă— height of the prism

C. Height of the prism's base + area of the prism's face

D. Perimeter of the prism's base Ă— height of the prism

Sagot :

GinnyAnswer
To find the volume of a prism, follow these steps:

1. Identify the Base of the Prism: The base of the prism is one of its two parallel, congruent faces.

2. Calculate the Area of the Base:
- For a rectangular prism, the area is calculated by multiplying the length by the width of the base.
- For a triangular prism, the area is calculated as [tex]\(\frac{1}{2} \times \text{base length of the triangle} \times \text{height of the triangle}\)[/tex].
- For other types of prisms, the base area calculation will depend on the shape of the base.

3. Determine the Height of the Prism: The height of the prism is the perpendicular distance between the two parallel bases.

4. Multiply the Area of the Base by the Height of the Prism: This gives the volume of the prism.

The correct formula and calculation for the volume of a prism is:

[tex]\[ \text{Volume} = \text{area of the prism's base} \times \text{height of the prism} \][/tex]

Therefore, the correct choice is:

â—‡ area of the prism's base x height of the prism
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