IXL | Volume of pyramids | 7th grade math - Free Printable

Let’s solve this step by step.

We are given a triangular pyramid — that means the base is a triangle, and it has three triangular faces meeting at a point (the top).

From the diagram:
- The base is a right triangle with legs of 3 mm and 3 mm.
- The height of the pyramid (from the base straight up to the top) is 4 mm.

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Step 1: Find the area of the base

The base is a right triangle. Area of a triangle = (base × height) ÷ 2

Here, both base and height of the triangle are 3 mm.

So,

Area of base = (3 × 3) ÷ 2 = 9 ÷ 2 = 4.5 square millimeters

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Step 2: Use the volume formula for a pyramid

Volume of any pyramid = (1/3) × (area of base) × (height of pyramid)

We have:
- Area of base = 4.5 mm²
- Height of pyramid = 4 mm

So,

Volume = (1/3) × 4.5 × 4

First, multiply 4.5 × 4 = 18

Then, 18 ÷ 3 = 6

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Final Answer:
6