Question

Total surface area of a cube is 150 cm² .The length of edge of the cube is? A) D) 5 cm B) 6 cm C) 10 cm 15 cm​

Answer 1

Answer:

The length of edge of the cube is 5cm. So, the option (A) 5cm is correct.

Step-by-step explanation:

Consider the provide information.

As per the provided information in the given question, we've been given that total surface area of a cube is 150 cm². With this information we've been asked to find out the length of edge of the cube.

Let us consider that, the length of edge of the cube be a.

The total surface area defined as the total area covered by all six faces of the cube. The total surface are of cube is, TSA = 6a². Therefore,

→ 150 = 6a²

→ a² = 150/6

→ a² = 25

→ a = √25

→ a = 5

Hence, the length of edge of the cube is 5cm. So, the option (A) 5cm is correct.

#Learn more:

1. The volume of a cubical box is 1331cm³. Then answer the following questions. (a). What is the edge of the cube?

- brainly.in/question/43162090

2. If total surface area of a cube is 1014 cm, find the lateral surface area and main diagonal of the cube

- brainly.in/question/22503707

Answer 2

$\large\underline{\underline{ \text{Question:}}}$

Total surface area of a cube is 150 cm² .The length of edge of the cube is ?

• A) 5cm

• B) 6cm

• C) 10cm

• D) 15cm

$\large\underline{\underline{ \text{Solution:}}}$

Given that,

• $\text{TSA of cube} = 150 {cm}^{2}$

We have to find,

• $\text{The length of edge of cube.}$

As we know that,

$\longrightarrow\boxed {\text{TSA of cube} = 6{(\text {The length of edge of cube})} ^{2}}$

Let substitute the given value,

$\longrightarrow 150 {cm}^{2} = 6{(\text {The length of edge of cube})} ^{2}$

$\longrightarrow \frac{150 {cm}^{2}}{6} = {(\text {The length of edge of cube})} ^{2}$

$\longrightarrow 25 {cm}^{2} = {(\text {The length of edge of cube})} ^{2}$

$\longrightarrow {(5cm)}^{2} = {(\text {The length of edge of cube})} ^{2}$

Comparing both sides we get,

$\longrightarrow \text {The length of edge of cube} = 5cm$

$\large\underline{\underline{ \text{Required Answer:}}}$

• Correct option is (A) 5cm.

$\\ \large\underline{\underline{ \text{More Information:}}}$

• TSA of cube = 6a²

• CSA of cube = 4a²

• Volume of cube = a³

• TSA of cuboid = 2(LB + BH + HL)

• CSA of cuboid = 2(L + B)H

• Volume of cuboid = LBH