Find The Volume Of The Triangular 6cm ,W=3cm And L=4cm

Find the volume of the triangular 6cm ,w=3cm and L=4cm

 

Answer:

The volume of the triangular prism is 36 cubic cm.

Step-by-step explanation:

Step 1: Write the given.

  1. Length (base of the triangle) is equal to 4 cm.
  2. Width (height of the triangle) is equal to 3 cm.
  3. Height of the triangular prism is equal to 6 cm.

Step 2: Identify the formula that will be utilized.

  1. The general formula of the volume of a prism is (Area of base)(height).
  2. Since the base is triangular, then we can solve for its area by using \frac{1}{2}*base*height. Wherein there would be a need to split the triangular base into two right triangles.
  3. Where: height is equal to width and base is equal to the  half of the length.
  4. Since we did split the triangular base, the area that will be calculated shall be multiplied to two.
  5. After acquiring the base area, we can now proceed to the computation of the volume.

Step 3: Find the area of the triangular base

  1. base is half of the base of the triangle ( base = 4/2)
  2. Area of one right triangle= (1/2)(4/2) cm)(3 cm)
  3. Area of one right triangle is 3 square cm.
  4. Area of base is twice that of area of one right triangle.
  5. Area of base is equal to 6 square cm.

Step 4: Find the volume of the triangular prism.

  1. Volume= area of base*height
  2. Volume= (6 square cm)(6 cm)
  3. Volume of the prism is equal to 36 cubic cm.

Therefore, the volume of the triangular prism is equivalent to 36 cubic cm.


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