Question

The breadth and height of a cuboid are 5 cm and 3 cm, respectively. If the volume of the cuboid is 90 cm³, then what is its length? ​

Answer 1

Answer:

• Length of the cuboid is 6 cm.

Step-by-step explanation:

Given that:

• Breadth of the cuboid is 5 cm.
• Height of the cuboid is 3 cm.
• Volume of the cuboid is 90 cm³.

To Find:

• Length of the cuboid.

As we know that,

Volume of cuboid = (L × B × H)

Where,

• L = Length of the cuboid
• B = Breadth of the cuboid
• H = Height of the cuboid

Let us assume:

• Length as L.

Substituting the values,

$\sf{90 = L\times5\times3}$

Multiplying 5 and 3,

$\sf{90 = L\times15}$

Transposing 15 from RHS to LHS and changing its sign,

$\sf{\dfrac{90}{15} = L}$

Dividing 90 by 15,

$\sf{6 = L}$

Hence, L = 6

Therefore, length of the cuboid is 6 cm.

Verification:

RHS:

↪ 6 × 5 × 3

↪ 90

LHS:

↪ 90

∴ LHS = RHS

Hence, verified.

More Formulas:

Diagonal of a cuboid:

$\sf{= \sqrt{l^2+b^2+h^2}}$

Total surface area:

$\sf{= 2(lb+bh+lh)}$

Lateral surface area:

$\sf{= 2(l+b)\times h}$