Question

The total surface area of a cube is 54 cmWhat is the length of its sides? ​

Answer 1

Step-by-step explanation:

A cube has 6 square faces. The TSA being 54 sq cm, each face has an area of 54/6 = 9 sq cm, so each face is a square of 3 cm x 3 cm.

So each edge of the cube is 3 cm

Volume of the cube is 3^3 = 27 cu cm.

The total are 12 in number and the total length of the edges is 36 cm.

The diagonal on each face is 3√2 cm.

The internal diagonals are 3√3 cm.

There are 12 vertices.

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Answer 2

Consider

• Let the side of the cube be a cm

We know that

• Surface area of a cube is given by 6a ²

• So according to question 6a²=54

• so a² =9 and a=3 cm

Given :

Total surface area= 54 cm²

$∴ 6(a)²=54 \\ \\ [a \: \: means \: \: \: edge] \\ \\ (a)²=54/6 \\ \\a=√9 \\ \\a=3$

Final Answer

Hence, length of its side are

• 3 cm