Verified answer

Dimensões

a= comprimento

b= largura

c=altura

Fórmula

Diagonal→d= √(a^2 + b^2 + c^2 )

Área total → At= 2.a.b+2.a.c+2.b.c

Volume →V= a.b.c

a)Cubo

a=2,5

b=2,5

c=2,5

d=a√3

d=2,3√3

At=6a^2

At=6.〖2,5〗^2

At= 6.6,25

At=37,5 〖cm〗^2

V= a^3

V= 〖2,5〗^3

V= 15,625 〖cm〗^3

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b)

a=2,0

b=2,0

c=2,5

d= √(a^2 + b^2 + c^2 )

d= √(〖2,0〗^2 + 2,0 + 〖2,5〗^2 )

d= √( 4+4+6,25)

d= √14,25

d= 3,77 cm

At= 2.a.b+2.a.c+2.b.c

At= 2.2,0.2,0 + 2.2,0.2,5 + 2.2,0.2,5

At= 8+10 + 10

At= 28 〖cm〗^2

V= a.b.c

V= 2,0 . 2,0 . 2,5

V= 10 〖cm〗^3

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c)

a=3,0

b=1,5

c=2,0

d= √(〖3,0〗^2 + 〖1,5〗^2 + 〖2,0〗^2 )

d= √(9+2,25+4)

d= √15,25

d= 3,90 cm

At= 2.3,0.1,5+2.3,0.2,0+2.1,5.2,0

At= 9 + 12 + 6

At= 27 〖cm〗^2

V= a.b.c

V= 3,0 + 1,5 + 2,0

V= 9 〖cm〗^3

a)

lados

a = 2,5

b = 2,5

c = 2,5

diagonal

d² = a² + b² + c² = 2,5² + 2,5² + 2,5² = 3*2,5²

d = 2,5*√3

área total

A = 2*(a*b + a*c + b*c)

A = 2*(2,5*2,5 + 2,5*2,5 + 2,5*2,5) = 6*2.5² = 37,5

volume

V = 2.5³ = 15,625

pronto