   Chapter 1, Problem 28P

Chapter
Section
Textbook Problem

A house is 50.0 ft long and 26 ft wide and has 8.0-ft-high ceilings. What is the volume of the interior of the house in cubic meters and in cubic centimeters?

To determine
The volume of the house in cubic meter and cubic centimeter unit.

Explanation

Given Info: The length of the house 50ft , width of the house 26ft and height of the house 8ft .

Explanation:

To determine the volume of the house in cubic meter.

Formula to calculate the volume of the house is,

V=lwh

• V is volume of the house,
• l is length of the house
• w is the width of the house
• h is the height of the house

From unit transformation,

1ft3=2.832×102m3

Substitute 50ft for l , 26ft for w and 8ft for h to find V .

V=[(50ft)(26ft)(8ft)](2.832×102m31ft3)=2.9×102m3

Thus, volume of house (V) in cubic meter unit is 2.9×102m3

To determine the volume of the house in cubic centimeter.

Formula to calculate the volume of the house is,

V=lwh

• V is volume of the house,
• l is length of the house
• w is the width of the house
• h is the height of the house

From unit transformation,

1ft3=2

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