Volume of Rectangular Prism

length = 5, width = 7, height = 6

Answer:

210.0 cubic units

Shape Visualization

Rectangular prism with length 5, width 7, height 6 units

Step-by-Step Solution

1

Identify the formula for volume of a rectangular prism

V = length × width × height
2

Substitute the dimensions

V = 5 × 7 × 6
3

Multiply all dimensions

5 × 7 × 6 = 210.0
4

Final answer

Volume = 210.0 cubic units

Formula Used

V = length × width × height

This formula calculates the volume of a rectangular-prism.

Real-World Applications

1

A box measuring 5cm × 7cm × 6cm holds 210.0 cubic centimeters

2

A room 5m long, 7m wide, 6m tall = 210.0 cubic meters

Understanding Rectangular-prism Volume

The volume of a rectangular-prism is a fundamental concept in geometry. Volume measures the amount of space inside a 3D object, expressed in cubic units.

By using the formula V = length × width × height, we can quickly and accurately calculate the volume for any rectangular-prism when we know the required measurements.

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