Question

What is the C.S.A of resulting solid if two identical cubes are joined end to end together with the length of the sides of the cube is 4 m?

• A. 128 m²
• B. 160 cm²
• C. 96 m²
• D. 192 m²

Answer 1

Answer:

B. 160 cm²

Understanding the Problem:

• We are joining two identical cubes end-to-end.

• Each cube has a side length of 4 m.

• We need to find the total surface area (CSA) of the resulting solid.

Calculations:

• When two cubes are joined end-to-end, the resulting solid is a cuboid.

• The dimensions of this cuboid will be:

  • Length (l) = 4 m + 4 m = 8 m

  • Breadth (b) = 4 m

  • Height (h) = 4 m

• The formula for the total surface area (TSA) of a cuboid is: TSA = 2(lb + bh + hl)

• Substituting the dimensions:

• TSA = 2((8 m * 4 m) + (4 m * 4 m) + (4 m * 8 m))

• TSA = 2(32 m² + 16 m² + 32 m²)

• TSA = 2(80 m²)

• TSA = 160 m²