Question

Two cubes each of volume 125 m3 are joined and to end. Find the surface area and the volume of the resulting cuboid

Answer 1

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