Surface Area of Cubes & Rectangular Prisms Practice

1 answer

1. Find the surface area of a cube with side length 5 cm.

Each face of the cube has an area of 5 cm x 5 cm = 25 square cm.
Since a cube has 6 faces, the total surface area of the cube is 6 x 25 = 150 square cm.

Therefore, the surface area of the cube is 150 square cm.

2. Find the surface area of a rectangular prism with dimensions 4 cm x 6 cm x 8 cm.

The surface area of a rectangular prism can be calculated using the formula:
Surface Area = 2(lw + lh + wh)

In this case, the dimensions are:
l = 6 cm
w = 4 cm
h = 8 cm

Substitute these values into the formula:
Surface Area = 2(6 x 4 + 6 x 8 + 4 x 8)
Surface Area = 2(24 + 48 + 32)
Surface Area = 2(104)
Surface Area = 208 square cm

Therefore, the surface area of the rectangular prism is 208 square cm.