The cube of edge 6cm and a cuboid with dimensions 4cm ×xcm×15cm×cm are equal in volume find x .total surface area of cuboid total surface area of the cube
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Answered by
3
Step-by-step explanation:
l^3=lbh
6^=15*4*x
216=60*x
36=10*x
x=3.6
tsa of cube=6*l^2
=6*6^2
=6*36
=216
tsa of cuboid=2(lb+bh+hl)
=2(4*3.6+3.6*15+15*4)
=2(14.4+54+60)
=2(513.6)
=1027.2
Answered by
1
Volume of cube = Volume of cuboid
Volume of cube = (6*6*6)cm^3------>Volume of cube =216cm^3
Volume of cuboid = l*b*h----->Volume of cuboid = 4cm* Xcm*15cm
216cm^3/4cm*15cm= Xcm-------->3.6cm=x
Total Surface Area of Cuboid = 2(l*h + l*b + b*h)
Total Surface Area of Cuboid = 2(4*15 + 4*3.6 + 3.6*15)
Total Surface Area of Cuboid = 2*128.40
Total Surface Area of Cuboid = 256.80cm^2
Total Surface Area of Cube = 6(s^2)
Total Surface Area of Cube = 6(6*6)
Total Surface Area of Cube =216cm^2
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