Match each 3D solid to its corresponding volume formula.

Rectangular Prism $V = l \times w \times h$
Cube $V = s^3$
Cylinder $V = \pi r^2 h$
Sphere $V = \frac{4}{3} \pi r^3$

Answer

Rectangular Prism matches with

V = l \times w \times h

; Cube matches with

V = s^3

; Cylinder matches with

V = \pi r^2 h

; Sphere matches with

V = \frac{4}{3} \pi r^3

Each 3D solid has a distinct volume formula based on its geometry. Matching them correctly demonstrates fundamental knowledge required before solving applied numerical problems.

Step-by-Step Solution

Identify the base shape and defining dimensions for each 3D solid.

Rectangular prisms use length, width, and height. Cubes use a single side length. Cylinders use radius and height. Spheres use only radius.

Volume formulas are derived from the foundational properties and base shapes of the solids.

Connect the identified dimensions to the standard algebraic formulas.

All solids are successfully matched to their specific volume equations.

Accurate calculation of volume requires applying the correct formula for the specific geometric figure.

Key Concept

Volume Formulas of Basic 3D Solids

Estimated Time:45s

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