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if an average rectangular block of limestone used to build the great pyramid of khufu at giza is approximately 2.5 feet by 3 feet by 4 feet, then how much would one block weigh if limestone weighs approximately 170 pounds per cubic foot?

if an average rectangular block of limestone used to build the great pyramid of khufu at giza is approximately 25 feet by 3 feet by 4 feet then how much would o class=

Respuesta :

Given a following rectangular block with the following dimensions:

L = Length = 4 ft.

W = Width = 3 ft.

H = Height = 2.5 ft.

To be able to determine the weight of one block, we must first determine its volume.

We get,

[tex]\text{ Volume = L x W x H}[/tex][tex]\text{ = 4 x 3 x }2.5[/tex][tex]\text{ Volume = 30 ft}^3[/tex]

Let's now determine the weight of the block,

[tex]\text{Weight of the Block = 30 (ft}^3)\text{ x }\frac{\text{ 170 lbs.}}{(ft^3)}[/tex][tex]\text{ = 30 x 170 lbs.}[/tex][tex]\text{ Weight of the Block = 5},100\text{ lbs.}[/tex]

Therefore, the weight of one block is 5,100 lbs.