/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 64 A car has a gas tank that hold... [FREE SOLUTION] | 91影视

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Chapter 1: Problem 64

A car has a gas tank that holds 12.5 U.S. gal. Using the conversion factors from the inside front cover, (a) determine the size of the gas tank in cubic inches. (b) A cubit is an ancient measurement of length that was defined as the distance from the elbow to the tip of the finger, about 18 in. long. What is the size of the gas tank in cubic cubits?

Short Answer

Expert verified
Answer: The volume of the gas tank is approximately 0.495 cubic cubits.

Step by step solution

01

Convert gallons to cubic inches

Since 1 US gal is equal to 231 cubic inches, we can convert 12.5 US gal to cubic inches by multiplying by the conversion factor: 12.5 US gal * 231 in鲁/US gal
02

Calculate the volume in cubic inches

Now we can calculate the volume of the gas tank: (12.5 * 231) in鲁 = 2887.5 in鲁 So the volume of the gas tank is 2887.5 cubic inches.
03

Convert inches to cubits

To convert from cubic inches to cubic cubits, we will need to use the given length of a cubit. First, let's find the volume of 1 cubic cubit. 1 cubit = 18 in 1 cubit鲁 = (18 in)鲁 = 5832 in鲁
04

Calculate the volume in cubic cubits

Now that we have the volume of 1 cubic cubit, we can calculate the volume of the gas tank in cubic cubits: 2887.5 in鲁 * (1 cubit鲁/5832 in鲁)
05

Simplify and find the final answer

Simplify the expression and round to an appropriate number of significant figures: (2887.5/5832) cubit鲁 鈮� 0.495 cubic cubits Therefore, the size of the gas tank is approximately 0.495 cubic cubits.

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