Question

Three cubes of edge 8cm each are joined end to end to form a cuboid. Find the surface area and volume of the cuboid so formed.

Answer 1

Answer: 896 cm²

Step-by-step explanation:

• Edge of the cube = 8 cm

• Volume of 1 cube = a³

                                       = 8³

                                       = 512 cm³

• Volume of cuboid formed = 3 × 512 = 1536 cm³

• Dimensions of the cuboid,

        length = 8 + 8 + 8 = 24 cm

        breadth = 8 cm

        height = 8 cm

• We know, total surface area of the cuboid = 2 ( lb + bh + hl )

                                                                                  = 2 ( 24*8 + 8*8 + 8*24 )

                                                                                  = 2 ( 192 + 64 + 192 )

                                                                                  = 896 cm²

• Hence,Total surface area of the cuboid is 896 cm².