Question Video: Finding the Area of One Face of a Cube Given Its Surface Area | Nagwa Question Video: Finding the Area of One Face of a Cube Given Its Surface Area | Nagwa

Question Video: Finding the Area of One Face of a Cube Given Its Surface Area Mathematics • Sixth Year of Primary School

The surface area of a cube is 1,020 cm². What is the area of one face of the cube?

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Video Transcript

The surface area of a cube is 1020 square centimeters. What is the area of one face of the cube?

Remember, the surface area of a three-dimensional shape is the total area of all of its faces. We’re looking to find the surface area of a cube. Now, we know a cube is a three-dimensional shape whose faces are all squares. It has six identical faces. Since all of these faces will have the exact same area, we can calculate the area of one of the faces by dividing the surface area by six. We might use the bus stop method to perform this calculation. We say, how many sixes make one? Well, it’s zero. And instead, we ask ourself, how many sixes make 10? It’s one remainder four.

Next, we ask ourself, how many sixes make 42? That’s seven. And how many sixes make zero? That’s zero. This means that 1020 divided by six is 170. The surface area measurement is given in square centimeters. Now, we’re still looking at areas, so our units are also square centimeters. And we can therefore say that the area of one face of our cube is 170 square centimeters.

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