Question

Work out the volume of the prism.

Give your answer in cm³.
6 cm
7 cm
4 cm
12 cm
15 cm
Not drawn accurately

Answer 1

To calculate the volume of a prism, you multiply the area of the base by the height. For example, a prism with a base of 6 cm by 4 cm and height 7 cm would have a volume of 168 cm³.

Step-by-step explanation:

To calculate the volume of a prism, you need to identify the base shape and use the correct volume formula. The information provided does not specify the base shape, but the typical process for calculating volume is to find the area of the base and multiply it by the height of the prism. As a hypothetical example, if a prism has a rectangular base with the sides being 6 cm and 4 cm, and the height of the prism is 7 cm, the volume (V) would be calculated as follows:

V = area of base × height of prism

V = (6 cm × 4 cm) × 7 cm = 24 cm² × 7 cm = 168 cm³.

The final answer, in this hypothetical scenario, would be 168 cm³.

Answer 2

To calculate the volume of a prism, you can use the formula:

Volume = Base Area x Height

In this case, the base is a rectangle with dimensions of 6 cm and 7 cm, and the height of the prism is 15 cm. So, first, calculate the base area:

Base Area = Length x Width

Base Area = 6 cm x 7 cm = 42 cm²

Now, you can find the volume:

Volume = Base Area x Height

Volume = 42 cm² x 15 cm = 630 cm³

So, the volume of the prism is 630 cm³.