Three blocks are shown: Block A has mass 3 kilograms, length 8 centimeters, height 2 centimeters, and width 1 centimeters. Block
B has mass 4 kilograms, length 1 centimeters, height 8 centimeters, and width 2 centimeters. Block C has mass 4 kilograms, length 8 centimeters, height 1 centimeters, and width 2 centimeters. Which statement is correct?
Answer: Option A). A has the greatest density is correct.
Explanation:
Sense we know volume equals High times length times width we can conclude that all of the rectangular prisms must have the same volume. the one one with the most weight has the most mass per unit in the volume given after multiplying HLW, witch means it has the highest density.
We assume that the blocks are of the same material. Therefore, the mass and volume of each block is related. To see which relationship is correct let's find the volume of the blocks
Block A
V = l * h * w
Vₐ = 8 * 2 * 1 = 16 cm²
mₐ = 3 Kg
B block
Vᵇ = 1 * 8 * 2 = 16 cm²
mᵇ = 4 Kg
Block C
Vc = 8 * 1 * 2 = 16 cm²
m c = 4 Kg
We can appreciate that all the blocks have the same volume
As we can see the expressions B and C are equivalent, so they are true, since for block A with the same volume indicates a smaller mass
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