Question

the total surface area is 1540 sq.m find it's volume ​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

The total surface area of a cube is 1350 sq. m. Find its volume.

Hint: In order to solve this question, we will first calculate the side of the cube from the given total surface area of a cube, which is equal to 6a²:and then we will find the required volume of cube by the formula for volume of cube = a³, where a represents the side of the cube.

Complete step-by-step :-

In this question, we have been given that the total surface area of a cube is 1350 sq. m and we have been asked to find the volume of the cube. Now, we will first draw the figure according to the given question, as given below.

Now, let us consider the side of the cube as a metre. And we know that the total surface area of a cube is given by 6(side)². So, we can say the total surface area of the cube is equal to 6a². Therefore, we can write as,

6a²=1350

Now, we will simplify it to get the value of a. So, we can write,

a²=1350/6

⇒a²=225

Now, we know that we can express 225 as 152. So, we can say that,

a²=15²

And further we can say a = 15 m.

Now, we have been asked to find the volume of a cube. And we know that the volume of a cube is given by (side)³. So, we can say that,

Volume of cube = a³

Now, we will substitute the value of a in this. So, we get,

Volume of cube = 15³

And we can further write it as,

Volume of cube = 3375m³

Hence, we can say that, if the total surface area of a cube is 1350 sq. m, then the volume of the cube will be 3375 cu. m.

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