Question

Look at the triangular prism beiow. Each triangular face of the prism has a base of 3 centimeters (cm) and a height of 4cm. The length of the prism is 12cm.

Answer 1

The volume of the triangular prism is
`\(36 \, \text{cm}^3\).`

Step-by-step explanation:

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

`\[ \text{Volume} = \text{Base Area} * \text{Height} \]`

The triangular base area is given by the formula:

`\[ \text{Base Area} = (1)/(2) * \text{Base} * \text{Height} \]`

Given that the base has a length of 3 cm and a height of 4 cm:

`\[ \text{Base Area} = (1)/(2) * 3 \, \text{cm} * 4 \, \text{cm} = 6 \, \text{cm}^2 \]`

Now, multiply the base area by the length of the prism (12 cm):

`\[ \text{Volume} = 6 \, \text{cm}^2 * 12 \, \text{cm} = 36 \, \text{cm}^3 \]`

Therefore, the volume of the triangular prism is
`\(36 \, \text{cm}^3\).`

Complete question:Look at the triangular prism beiow. Each triangular face of the prism has a base of 3 centimeters (cm) and a height of 4cm. The length of the prism is 12cm.What is the volume of a triangular prism.