Tags: geometry, cube, rectangular prism, triangular prism, 3D shapes, math, measurement, volume, surface area, educational diagram, math worksheet, shapes, dimensions

Let’s solve each problem one by one. We’re finding the volume of each 3D shape. Volume tells us how much space is inside the shape — like how much water it could hold if it were a container.

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Problem 1: Cube with side 5 cm

This is a cube — all sides are equal.

Formula for volume of a cube:
Volume = side × side × side

So:
5 cm × 5 cm × 5 cm = ?

First, 5 × 5 = 25
Then, 25 × 5 = 125

✔ Volume = 125 cm³

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Problem 2: Rectangular prism (box) with dimensions 6 cm, 6 cm, and 11 cm

This is a rectangular box. The formula is:

Volume = length × width × height

We can pick any order — let’s do:
6 cm × 6 cm × 11 cm

First, 6 × 6 = 36
Then, 36 × 11 = ?

Break it down:
36 × 10 = 360
36 × 1 = 36
Add them: 360 + 36 = 396

✔ Volume = 396 cm³

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Problem 3: Triangular prism

This shape has a triangle as its base, and it extends into a 3D shape.

To find volume of a triangular prism:

Volume = Area of triangular base × length (or depth) of the prism

Step 1: Find area of the triangle.

The triangle has:
- Base = 8 cm
- Height = 5 cm (the perpendicular height — shown with the right angle mark)

Area of triangle = (base × height) ÷ 2
= (8 × 5) ÷ 2
= 40 ÷ 2
= 20 cm²

Step 2: Multiply by the length of the prism (how far it goes back).

From the diagram, the length (depth) is 12 cm.

So:
Volume = 20 cm² × 12 cm = 240 cm³

✔ Volume = 240 cm³

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Final Answer:
1) 125 cm³
2) 396 cm³
3) 240 cm³