Question

The dimensions in a cuboid are in a ratio of 1:2:3 and its TSA is 352 cm^2. Find its length, breadth and height​

Answer 1

Answer:

Volume of cuboid = length × breadth × height. Here, length = 14 cm, breadth = 12 cm and height = 8 cm. Volume of cuboid = 14 × 12 × 8 cubic cm.

The dimensions of a cuboid will generally be denoted by l for length, b for breadth and h for height. Suppose that a cuboid has the dimensions 5 cm, 4 cm and 2 cm. We will say that it is a 5 cm × 4 cm × 2 cm cuboid.

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Answer 2

Step-by-step explanation:

$\huge\boxed{\underline{\mathcal{\red{A}\green{N}\pink{S}\orange{W}\blue{E}\pink{R}}}}$

$\boxed{\bf{\blue{\bigstar Given \longrightarrow}}}$

Dimension = 1 x : 2 x : 3x

TSA = 352 cm^2

$\boxed{\bf{\blue{\bigstar Find \longrightarrow}}}$

Length = ?

breath = ?

Height = ?

$\boxed{\bf{\blue{\bigstar Solution \longrightarrow}}}$

=> TSA of cuboid = 2 ( lb + bh + hl)

=> 352 = 2 ( x × 2x + 2x × 3x + 3x × x)

=> 352 = 2( 2x^2 + 6x^2 + 3x ^2 )

=> 352 = 22 x ^2

=> 352/22 = x ^2

=> 16 = x^2

=> x = 4

So,

Length = 4

Breath = 2x = 8

Height = 3x = 12