Question

2 cubes each of volume 64 ćare joined end to end.find the surface area of resulting cuboid

Answer 1

x3 = 64

x = 4

therefore, length = 8 breadth = 4 height = 4

TSA = lb + bh+ hl * 2

== 32 + 16 + 32

== 80 * 2

== 160 units2

Answer 2

Find the length of each cube:

Volume = Length³

Length³ = 64 units³

Length = ∛64

Length = 4 units

Find the area of 1 face:

Area = Length²

Area = 4²

Area = 16 units²

Find the total surface area of the cuboid:

Number of faces = 10

Area of 1 face = 16 units²

Area of 10 face = 16 x 10 = 160 units²

Answer: The total surface area is 160 units²