Question

The surface rea of a cuboid is 3328 m2

. Its dimensions are in the ratio 4: 3: 2. Find the sides in

(m) of the cuboid.guys please don't spam .. I really want answer for this question.. don't spam otherwise I will report your answer..​

Answer 1

Answer :

• The dimensions are 32m, 24m , 16m

Step-by-step-explanation :

Given:

• The surface area of a cuboid is 3328m²
• The ratio of the dimensions of its sides are 4 : 3 : 2

To Find:

• The dimensions of its sides

Solution:

→ Let ,

• The sides of the cuboid be 4x, 3x, 2x

→ We know,

• Total surface area of a cuboid = 2 [ lb + bh + hl ]

→ Substituting we get,

$\longrightarrow \sf 3328m^{2} = 2( 4x \times 3x + 3x\times 2x + 2x\times 4x)$

$\longrightarrow \sf 3328m^{2} =2( 12x^{2} + 6x^{2} + 8x^{2} )$

$\longrightarrow \sf 3328m^{2} = 2(26x^{2})$

$\longrightarrow \sf 3328m^{2} = 52x^{2}$

$\longrightarrow \sf x^{2} = 3328m^{2} \div 52$

$\longrightarrow \sf x^{2} = 64m^{2}$

$\longrightarrow \sf x = \sqrt{64m^{2} }$

$\longrightarrow \sf {\pink{\underline{\boxed{\pmb{\frak{x = 8m}}}}\bigstar}}$

→ Now let's find the dimensions,

$\longrightarrow \tt Length = 4(8) = 32m$

$\longrightarrow \tt Breadth = 3(8) = 24m$

$\longrightarrow \tt Height = 2(8) = 16m$

∴ The dimensions are 32m, 24m, 16m

Answer 2

Answer:

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