A cube of edge 6 cm and a cuboid with dimensions 4 cm × x cm × 15 cm are equal in volume. Find : the value of x , total surface area of the cuboid and total surface area of the cube .
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Answered by
33
given that
volume of cube = volume of cuboid
(a)^3 = l×b×h
6^3 = 4×x×15
216 = 60x
x=216/60
therefore x=3.6
total surface area of the cuboid = 2(lb+bh+hl)
=2(4×3.6+3.6×15+15×4)
=2(14.4+54+60)
=2(128.4)
=256.8
total surface area of cube = 6a^2
=6(6)^2
=6(36)
=216
volume of cube = volume of cuboid
(a)^3 = l×b×h
6^3 = 4×x×15
216 = 60x
x=216/60
therefore x=3.6
total surface area of the cuboid = 2(lb+bh+hl)
=2(4×3.6+3.6×15+15×4)
=2(14.4+54+60)
=2(128.4)
=256.8
total surface area of cube = 6a^2
=6(6)^2
=6(36)
=216
Answered by
3
1. 3.6
2. 256.8 cm²
3. 216 cm³
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