Let’s solve this step by step.
We are given a 3D shape — it looks like a triangular prism. The front face is a right triangle with sides 5, 12, and 13 (we can check that: 5² + 12² = 25 + 144 = 169 = 13² → yes, it’s a right triangle).
The length of the prism (the distance between the two triangular faces) is 11.
We need to find the
volume of this prism.
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Step 1: Find the area of the triangular base
Since it’s a right triangle, we can use the two legs as base and height.
Area of triangle = (base × height) ÷ 2
= (5 × 12) ÷ 2
= 60 ÷ 2
=
30
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Step 2: Multiply by the length of the prism
Volume of a prism = Area of base × Length
= 30 × 11
=
330
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Final Answer:
330
Parent Tip: Review the logic above to help your child master the concept of surface area triangular prism worksheet.
