Question

An object in the shape of a rectangular prism has a length of 9 inches, a width of 5 inches, and a height of 4 inches. The object's density is 11.1 grams per cubic centimeter. Find the mass of the object to the nearest gram.

Answer 1

• 32.741 kg

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Mass is the product of the volume and density and the volume of the rectangular prism is the product of its three dimensions.

Find the volume first:

• V = 9*5*4 = 180 in³

Convert volume to cm³, taking 2.54 cm per in:

• 180*(2.54)³ = 2949.67152 cm³

Find the mass:

• Mass = 11.1*2949.67152 = 32741.353872 g ≈ 32.741 kg (rounded)