Question

how to find surface area of cube and cuboid​

Answer 1

Answer:

Cube:- 6a²

Cuboid:- 2(lb+bh+hl)

Step-by-step explanation:

here,

a = side

l = length

b = breadth

h = height

Note:

surface area = total surface area

Answer 2

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Cube:-

A cube is a three-dimensional shape having all its sides equal and the faces of the cube are square in shape.

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ForMulA To FiNd SurFacE AReA Of CuBe:-

$\boxed {\red{6 \times {side}^{2} }}$

EXampLeS:-

1. Find the total surface area of cube with 8 metres of side?

$\longrightarrow6 \times {8}^{2} \\ \\ \qquad \longrightarrow6 \times 64 \\ \\ \quad\longrightarrow \boxed{384 \: metres}$

Hence,The total surface area of cube is 384 m.

2. What will be the surface area of cube with 12 cm of side?

$\longrightarrow6 \times {12}^{2} \\ \\ \qquad \longrightarrow6 \times 144 \\ \\ \quad \longrightarrow \boxed{864 \: \:centi metres}$

Hence,The total surface area of cube is 864 cm.

Cuboid:-

A cuboid is also a three-dimensional shape which has three pair of equal sides parallel to each other and the faces of the cuboid are all in a rectangular shape.

$\setlength{\unitlength}{0.74 cm}\begin{picture}\thicklines\put(5.6,5.4){\bf A}\put(11.1,5.4){\bf B}\put(11.2,9){\bf C}\put(5.3,8.6){\bf D}\put(3.3,10.2){\bf E}\put(3.3,7){\bf F}\put(9.25,10.35){\bf H}\put(9.35,7.35){\bf G}\put(3.5,6.1){\sf x\:cm}\put(7.7,6.3){\sf y\:cm}\put(11.3,7.45){\sf z\:cm}\put(6,6){\line(1,0){5}}\put(6,9){\line(1,0){5}}\put(11,9){\line(0,-1){3}}\put(6,6){\line(0,1){3}}\put(4,7.3){\line(1,0){5}}\put(4,10.3){\line(1,0){5}}\put(9,10.3){\line(0,-1){3}}\put(4,7.3){\line(0,1){3}}\put(6,6){\line(-3,2){2}}\put(6,9){\line(-3,2){2}}\put(11,9){\line(-3,2){2}}\put(11,6){\line(-3,2){2}}\end{picture}$

FoRmuLa To FinD SurFacE ArEa Of CubOid:-

$\boxed{ \red{2 \times (length \times bredth) + 2 \times (bredth \times height) + 2 \times (height \times length)}}$

ExAmpLes:-

1. Find the surface area of cuboid with 5 cm of height, 8 cm of length and 2 cm of bredth?

$\longrightarrow2 \times (8 \times 2) + 2 \times (2 \times 5) \\ + 2 \times (5 \times 8) \\ \\ \qquad\longrightarrow2 \times (16) + 2 \times (10) + 2 \times (40) \\ \\ \qquad\longrightarrow32 + 20 + 80 \\ \\ \longrightarrow \boxed{132 \: centimetres}$

Hence,The total surface area of cuboid is 132 cm.

2. What will be the total surface area of cuboid with 10 m, 15 m and 20 m of dimensions?

$\longrightarrow2 \times (10 \times 15) + 2 \times (15 \times 20) \\ + 2 \times (20 \times 10) \\ \\ \qquad\longrightarrow2 \times (150) + 2 \times (300) + 2 \times (200) \\ \\ \qquad\longrightarrow300 + 600+ 400 \\ \\ \longrightarrow \boxed{1300 \: metres}$

Hence,The total surface area of cuboid is 1300 metres.

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