Two cubes each of volume 125 m3 are joined and to end. Find the surface area and the volume of the resulting cuboid
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Answer:
250 m² & 250 m³
Step-by-step explanation:
Volume of cube = (side length)³
Side length = (Volume)^(1/3)
= (125 m³)^(1/3)
= (5³ m³)^(1/3)
= 5 m
When cubes are attached, it becomes a cuboid. So, the dimensions of the cuboid formed are
L = 5 m + 5 m = 10 m
B = 5 m
H = 5 m
New surface area
= Surface area of cuboid
= 2(LB + BH + LH)
= 2[(10 × 5) + (5 × 5) + (10 × 5)] m²
= 2[50 + 25 + 50] m²
= 2 × 125 m²
= 250 m²
New Volume = Sum of volume of both the cubes
= 125 m³ + 125 m³
= 250 m³
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