Question

Help me please its due today

Answer 1

Area of base:-

• 1/2BH
• 1/2(6)(8)
• 3(8)
• 24ft^2

Volume:-

• Area of base×Height
• 24(12)
• 288ft^3

Answer 2

~Refer to image~

We know that:

`\bullet \ \ \ \text{Volume of right triangular prism} = \text{Area of triangle} * \text{a}`

`\bullet \ \ \ \text{Area of triangle} = (1)/(2) * \text{Base} * \text{Altitude }`

When looking at the triangle, we can tell that:

`\bullet \ \ \ \text{Base} = 8 \ \text{ft} \\\\ \bullet \ \ \text{Altitude} = 6 \ \text{ft} \\\\ \bullet \ \ \text{a} = 12 \ \text{ft}`

Substitute the base, height, and altitude in the formula:

`\bullet \ \ \ \text{Volume of right triangular prism} = \text{Area of triangle} * \text{a}`

`\bullet \ \ \ \text{Volume of right triangular prism} = \huge{\text{[}(1)/(2) * 8 * 6\huge{\text{]} * 12`

Solve for the volume:

`\bullet \ \ \ \text{Volume of right triangular prism} = \huge{\text{[}4 * 6\huge{\text{]} * 12`

`\bullet \ \ \ \text{Volume of right triangular prism} = \huge{\text{[}24\huge{\text{]} * 12`

`\bullet \ \ \ \boxed{\text{Volume of right triangular prism} = 288 \ \text{ft}^(3) }`