Question

Solve the following:
1. Three cubes of edges 8 cm are joined end to end. Find the surface area of the resulting cuboid.​

Answer 1

The surface area of the resulting cuboid is 896 .

1. Length of sides of each cube is 8 cm.

3. On joining the three cube, it will be converted into cuboid shape (square prism) Which

  Length(L) = 8+8+8= 24 (cm)

   Width(B)= 8 (cm)

   Height(H)= 8 (cm)

3. Now

   Total surface area of cuboid = 2×(L×B+B×H+L×H)

                                                     = 2×(24×8+8×8+24×8)

                                                     = 2×(192+64+192)

                                                     = 2×448

(cm)^{2}

                                                     =896