Question

The figure below is made of two identical triangular prisms what is the value of the figure

Answer 1

The volume of the given figure is, 300 cubic inches.

To find the volume of the entire figure, we will calculate the volume of one triangular prism and then double it, as there are two identical prisms.

The formula for the volume of a triangular prism is:

`\[ \text{Volume} = \text{Area of the triangular base} * \text{Length} \]`

For a triangular base, the area
`\( A \)` can be found by the formula:

`\[ A = (1)/(2) * \text{base} * \text{height} \]`

The base and height of the triangular base are given as 6 inches and 5 inches, respectively. So we can calculate the area of one triangular base as:

`\[ A = (1)/(2) * 6 \, \text{in} * 5 \, \text{in} \]`

Now, for the length of the prism, we use the given length of 10 inches.

After calculating the area of the triangular base, we multiply it by the length to find the volume of one prism and then double that value to find the total volume for the two prisms. Let's do the calculations.

The volume of the entire figure, which is made of two identical triangular prisms, is 300 cubic inches. Here are the steps of the calculation:

Calculated the area of one triangular base using the formula:

`\[ A = (1)/(2) * \text{base} * \text{height} \]`

`\[ A = (1)/(2) * 6 \, \text{in} * 5 \, \text{in} \]`

`\[ A = 15 \, \text{in}^2 \]`

Multiplied the area of the triangular base by the length of the prism to find the volume of one prism:

`\[ \text{Volume of one prism} = \text{Area of base} * \text{Length} \]`

`\[ \text{Volume of one prism} = 15 \, \text{in}^2 * 10 \, \text{in} \]`

`\[ \text{Volume of one prism} = 150 \, \text{in}^3 \]`

Doubled the volume of one prism to find the total volume, since there are two prisms:

`\[ \text{Total volume} = 2 * \text{Volume of one prism} \]`

`\[ \text{Total volume} = 2 * 150 \, \text{in}^3 \]`

`\[ \text{Total volume} = 300 \, \text{in}^3 \]`

Therefore, the correct answer is 300 cubic inches.

Answer 2

I will tell you in the explanation...

Step-by-step explanation: God created us and god knows the answer. :)