Raj's company ships T-shirts in boxes shaped like cubes. The picture below shows the cube
and its net. Raj is designing labels for all of the faces of the boxes. What is the surface area
of each box that Raj needs to cover with labels?

Answer: The surface area of each cube is 24 ft² (24 square feet)

Step-by-step explanation: The boxes according to the question are shaped like cubes, which means the shape we have here has square faces on all sides. Also the boxes have been opened up into nets and this shows each box as having 6 faces.

The area of each face is derived as follows;

Area = L x W

Area = 2 x 2

Area = 4 ft²

Having calculated the surface area of each face, a box or cube with 6 faces will have its surface area as;

Area of box = Face area x 6

Area of box = 4 x 6

Area of box = 24 ft²

Therefore in designing labels for all of the boxes, Raj would need 24 square feet of label for each box.

The surface area of the box is 24 square ft if the side length is 2 ft after using the surface area formula.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

We have a box, the side length of the box is 2 ft.

The surface area of the box = 6a²

a is the side length.

a = 2 ft

Surface area of the box = 6(2)² = 24 square ft

Thus, the surface area of the box is 24 square ft if the side length is 2 ft after using the surface area formula.

Learn more about the cuboid here:

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