Question

The density of a certain material is such that it weighs 6200 ounces per cubic foot of volume. express this density in tons per cubic meter. round your answer to the nearest hundredth.

A) 2.82 tons/m³
B) 175.95 tons/m³
C) 175.92 tons/m³
D) 0.00035 tons/m³

Answer 1

To express the density of a material in tons per cubic meter, we convert the given units of ounces per cubic foot to tons per cubic meter. The density is approximately 175.92 tons/m³.

Step-by-step explanation:

To express the density of a material in tons per cubic meter, we need to convert the given units of ounces per cubic foot to tons per cubic meter. First, we convert ounces to tons by dividing by 35.274 since there are 35.274 ounces in a kilogram. Then, we convert cubic feet to cubic meters by multiplying by 0.0283168 since there are 0.0283168 cubic meters in a cubic foot. Finally, we divide the weight in tons by the volume in cubic meters to obtain the density in tons per cubic meter.

The conversion steps are as follows:

1. Convert 6200 ounces to tons: 6200 oz ÷ 35.274 = 175.92 tons.
2. Convert 1 cubic foot to cubic meters: 1 ft³ × 0.0283168 = 0.0283168 m³.
3. Calculate the density in tons per cubic meter: 175.92 tons ÷ 0.0283168 m³ ≈ 175.92 tons/m³.