Let’s solve each problem step by step.
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Problem 1: Cube with side 5 cm
This is a cube — all sides are equal.
We need to find the
volume (since no other instruction is given, and dimensions are provided, volume is standard for such problems).
Volume of a cube = side × side × side
= 5 cm × 5 cm × 5 cm
= 25 × 5
=
125 cm³
✔ Check: 5×5=25, 25×5=125 → correct.
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Problem 2: Rectangular prism (box shape)
Dimensions: length = 11 cm, width = 6 cm, height = 6 cm
Volume of rectangular prism = length × width × height
= 11 × 6 × 6
First, 6 × 6 = 36
Then, 11 × 36
Break it down:
10 × 36 = 360
1 × 36 = 36
Total = 360 + 36 =
396 cm³
✔ Check: 11×6=66, 66×6=396 → correct.
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Problem 3: Triangular prism
This is a prism with a triangular base.
The triangle has:
- Base = 8 cm
- Height = 5 cm (the perpendicular height from base to top vertex)
- The “length” or depth of the prism = 12 cm (this is how far the triangle extends)
Volume of triangular prism = Area of triangular base × length of prism
Area of triangle = (base × height) ÷ 2
= (8 × 5) ÷ 2
= 40 ÷ 2
= 20 cm²
Now multiply by the length of the prism:
20 × 12 =
240 cm³
✔ Check: Triangle area = 20, times 12 = 240 → correct.
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Final Answer:
1) 125 cm³
2) 396 cm³
3) 240 cm³
Parent Tip: Review the logic above to help your child master the concept of solid fun math worksheet answers.
