A solid aluminum cube has sides each of length l . A second cube of the same material has sides four times the length of the fir

Question

EleoNora [17]

4 years ago

14

A solid aluminum cube has sides each of length l . A second cube of the same material has sides four times the length of the fir

st cube, i.E., 4 l . What is the weight of the second cube

Mathematics

1 answer:

timofeeve [1] · Answer 1 · 2021-12-03T23:24:14+03:00

The formula to find the volume of cube

cube = s^3

Therefore volume is equal to I^3

The second cube has 4x the First cube

4 × (I^3) = 4 ×I^3

Total volume of the second cube= 4I^3 cm3

Fact: the density(mass ÷ volume) of aluminium is 2.40g/cm3

Making mass the subject of the formula:

D = M ÷ V
(Times volume to remove deno minator)

Mass = Density × Volume

Mass = 2.40 × 4I ^3

Mass = 8.40I^3

By physics

weight= m × g

where
M = mass
g = acceleration due to gravity (= 9.8)

W = 8.40 I^3 × 9.8

Weight of aluminium = 82.32I^3