If cast iron weighs 640 lbs per ft³, what is the weight of a cast iron block measuring 14' x 12' x 18'?

To determine the weight of a cast iron block, you first need to calculate the volume of the block and then use the weight per cubic foot of cast iron to find the total weight.

The volume of a rectangular block can be calculated using the formula:

Volume = Length × Width × Height

For the block measuring 14 feet by 12 feet by 18 feet, the calculation would be:

Volume = 14 ft × 12 ft × 18 ft = 3024 cubic feet

Having found the volume, the next step is to compute the weight of the block. Given that the weight of cast iron is 640 lbs per cubic foot, the weight can be calculated by multiplying the volume by the weight per cubic foot:

Weight = Volume × Weight per cubic foot

So, substituting the values we have:

Weight = 3024 ft³ × 640 lbs/ft³ = 1,937,280 lbs

However, this weight doesn’t seem to match any of the provided answers. Let's correct this by ensuring that the volume calculation accounts correctly.

Calculating the total volume correctly:

Volume = 14 × 12 × 18 gives:

= 3024 cubic feet

Very much to calculate weight correctly.

Weight