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Help me please its due today

Help me please its due today-example-1
User PAS
by
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2 Answers

8 votes

Area of base:-

  • 1/2BH
  • 1/2(6)(8)
  • 3(8)
  • 24ft^2

Volume:-

  • Area of base×Height
  • 24(12)
  • 288ft^3
User Khrysann
by
8.0k points
8 votes

Solution:

~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) }

Help me please its due today-example-1
User Arla
by
7.8k points

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