QuestionJuly 15, 2025

A crate of medicine with a density of 138 pounds per cubic foot will be shipped from the U.S. to Israel. What is the crate's density in kilograms per cubic meter? First fill in the two blanks on the left side of the equation using two of the ratios. Then write your answer rounded to the nearest hundredth on the right side of the equation. Ratios: (35.3ft^3)/(1m^3) (1m^3)/(35.3ft^3) (2.2lb)/(1kg) (1kg)/(2.2lb) (138lb)/(1ft^3)times square times square =square (kg)/(m^3)

A crate of medicine with a density of 138 pounds per cubic foot will be shipped from the U.S. to Israel. What is the crate's density in kilograms per cubic meter? First fill in the two blanks on the left side of the equation using two of the ratios. Then write your answer rounded to the nearest hundredth on the right side of the equation. Ratios: (35.3ft^3)/(1m^3) (1m^3)/(35.3ft^3) (2.2lb)/(1kg) (1kg)/(2.2lb) (138lb)/(1ft^3)times square times square =square (kg)/(m^3)
A crate of medicine with a density of 138 pounds per cubic foot will be shipped from the U.S. to Israel. What is the crate's density in kilograms per cubic meter?
First fill in the two blanks on the left side of the equation using two of the ratios. Then write your answer rounded to the nearest hundredth on the right side of
the equation.
Ratios:
(35.3ft^3)/(1m^3)
(1m^3)/(35.3ft^3)
(2.2lb)/(1kg)
(1kg)/(2.2lb)
(138lb)/(1ft^3)times square times square =square (kg)/(m^3)

Solution
4.2(217 votes)

Answer

2210.91 \, \frac{\text{kg}}{\text{m}^3} Explanation 1. Convert pounds to kilograms Use the ratio \frac{1 \text{ kg}}{2.2 \text{ lb}} to convert pounds to kilograms. Multiply 138 \text{ lb/ft}^3 by \frac{1 \text{ kg}}{2.2 \text{ lb}} to get the density in kg/ft³. 2. Convert cubic feet to cubic meters Use the ratio \frac{35.3 \text{ ft}^3}{1 \text{ m}^3} to convert cubic feet to cubic meters. Multiply the result from Step 1 by \frac{35.3 \text{ ft}^3}{1 \text{ m}^3} to get the density in kg/m³.

Explanation

1. Convert pounds to kilograms<br /> Use the ratio $\frac{1 \text{ kg}}{2.2 \text{ lb}}$ to convert pounds to kilograms. Multiply $138 \text{ lb/ft}^3$ by $\frac{1 \text{ kg}}{2.2 \text{ lb}}$ to get the density in kg/ft³.<br /><br />2. Convert cubic feet to cubic meters<br /> Use the ratio $\frac{35.3 \text{ ft}^3}{1 \text{ m}^3}$ to convert cubic feet to cubic meters. Multiply the result from Step 1 by $\frac{35.3 \text{ ft}^3}{1 \text{ m}^3}$ to get the density in kg/m³.
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