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Bengtsson

عpressureacts on asurface area in the direction _________to the surface.​

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Answer:

GiveN:

We're provided with the Edge (side) of a cube, that is, 10 cm. However, we've to find out the :\\

Volume

Total Surface Area

Lateral Surface Area

Length of the Diagonal

\\

Diagram :\\

\setlength{\unitlength}{0.68cm}\begin{picture}(12,4)\linethickness{0.3mm}\put(6,6){\line(1,0){5}}\put(6,9){\line(1,0){5}}\put(11,9){\line(0,-1){3}}\put(6,6){\line(0,1){3}}\put(4,7.3){\line(1,0){5}}\put(4,10.3){\line(1,0){5}}\put(9,10.3){\line(0,-1){3}}\put(4,7.3){\line(0,1){3}}\qbezier(6,6)(4,7.3)(4,7.3)\qbezier(6,9)(4,10.2)(4,10.3)\qbezier(11,9)(9.5,10)(9,10.3)\qbezier(11,6)(10,6.6)(9,7.3)\put(8,5.5){\sf{10 cm}}\put(4,6.3){\sf{10 cm}}\put(11,7.7){\sf{10 cm}}\end{picture}

\\

We know the respective formula's to calculate them, instead of any lengthy methods.

\\

I) Volume :

→ Volume of a Cube = (edge)³

By substituting the values :

→ Volume of a Cube = (10)³

→ Volume of a Cube = 1000 m³

\therefore Volume of the given cube is 1000 m³

\\

II) Total Surface Area :

→ TSA of a Cube = 6 × (edge)²

By substituting the values :

→ TSA of a Cube = 6 × (10)²

→ TSA of a Cube = 6 × 100

→ TSA of a Cube = 600 m²

\therefore Total Surface Area of the given Cube is 600 m²

\\

III) Lateral Surface Area :

→ LSA of a Cube = 4 × (edge)²

By substituting the values :

→ LSA of a Cube = 4 × (10)²

→ LSA of a Cube = 4 × 100

→ LSA of a Cube = 400 m²

\therefore Lateral Surface Area of given Cube is 400 m²

\\

III) Length of the Diagonals :

We know that,

→ Length of diagonals of a Cube = √3(edge)

By substituting the values :

→ Length of Diagonals = √3(10)

→ Length of Diagonals = 1.73 × 10

→ Length of Diagonals = 17.3 m

\therefore Length of diagonals of given Cube is 17.3 m.

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