Concrete is sold by the cubic yard.What is the mass,in kilograms,of 1.00 cubic yard of concrete that is 5.00 times as dense as water? (1.00 m = 1.094 yd,a cubic meter of water has a mass of 1,000 kg,and density is mass per unit volume. )
A)764 kg
B)6550 kg
C)2420 kg
D)8730 kg
E)3820 kg

Question

Quizplus · Accepted Answer

First, convert cubic yards to cubic meters using the given conversion factor: $1.00 \, \text{cubic yard} = (1/1.094)^3 \, \text{cubic meters}$. Since $1.00 \, \text{cubic meter of water} = 1000 \, \text{kg}$, and the concrete is $5.00$ times as dense as water, the mass of the concrete per cubic meter is $5 \times 1000 \, \text{kg} = 5000 \, \text{kg}$. Now, calculate the volume in cubic meters: $(1/1.094)^3 \approx 0.764 \, \text{cubic meters}$. Therefore, the mass of the concrete is $0.764 \times 5000 \, \text{kg} = 3820 \, \text{kg}$.

Concrete Is Sold by the Cubic Yard