Question

the volume of a cube is 1728m^3.find ita surface area​

Answer 1

Answer:

Step-by-step explanation:

Here you go

curved surface area=154

total surface area=3 times curved

total surface area=3 times 154

total surface area=462

total surface area=curved surface area+2(area of base)

462=154+2(area of base)

subtract 154 from both sides

308=2(area of base)

divde 2

154=area of base

area of base=pi(r)^2

154=pir^2

aprox pi to 3.14

154=3.14r^2

divide both sides y 3.14

49=r^2

square root both sides

7=r

volume=(h)pi(r)^2

we know that pir^2=154 so subsitute

volume=h154 or

volume=154h

solve for h

curved surface area=h(2pir)

154=h(2pir)

divde both sides by 2

77=hpir

subsitute 3.14 for pi and 7 for r

77=h(3.14)(7)

77=h(21.98)

diviide both sides by 21.98

3.5=h

subsitute

volume=h(154)

volume=3.5(154)

volume=539 cm^2

Hope this helps