Question

Two mutually perpendicular straight lines through the origin form an isosceles triangle with the line 2x+y=5. Then the area of the triangle is:

Answer 1

Step-by-step explanation:

Given :

Lateral surface area of cube = 2400 sq.m

To Find :

The surface area of cube

Solution :

Lateral surface area of cube is givem by ,

\begin{gathered} \\ \star \: {\boxed{\red{\sf{LSA_{(cube)} = 4 {s}^{2} }}}} \\ \\ \end{gathered}

⋆

LSA

(cube)

=4s

2

Here ,

s is side of the cube

We have ,

LSA = 2400 sq.m

Substituting the value we have in the formula ,

\begin{gathered} \\ : \implies \sf \:2400 \: {m}^{2} = 4 {s}^{2} \\ \\ \end{gathered}

:⟹2400m

2

=4s

2

\begin{gathered} \\ : \implies \sf \: \frac{2400 \: {m}^{2} }{4} = {s}^{2} \\ \\ \end{gathered}

:⟹

4

2400m

2

=s

2

\begin{gathered} \\ : \implies \sf \: 600 \: {m}^{2} = {s}^{2} \\ \\ \end{gathered}

:⟹600m

2

=s

2

\begin{gathered} \\ : \implies \sf \: s = \sqrt{600 \: {m}^{2} } \\ \\ \end{gathered